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tg²x-√3tgx=√3-tgx

tg²x-√3tgx=√3-tgx уравнение

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Решение

Вы ввели [src]
   2        __________     ___         
tan (x) - \/ 3*tan(x)  = \/ 3  - tan(x)
$$\tan^{2}{\left(x \right)} - \sqrt{3 \tan{\left(x \right)}} = - \tan{\left(x \right)} + \sqrt{3}$$
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Быстрый ответ [src]
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          |       2/3   ___   /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___       5/12   /            ___   /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___           ___   /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___            ___   /              ___       ___   /              ___        5/6 |            ___       ___   /              ___ |      /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___         6 ___ 3 /              ___       ___   /              ___     /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___         6 ___   ___ 3 /              ___       ___   /              ___     /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___    |
          |  1   2   *\/ 3 *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3       2    *\/     - 402*\/ 2 *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3     - 48*\/ 6 *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3     + 108*\/ 6 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    - 3*2   *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /   *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3     + 12*\/ 2 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3   *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3     + 48*\/ 2 *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3   *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3     |
x_1 = atan|- - + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
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          |                                                                                          12*\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                6 /              ___       ___   /              ___   4 /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       |
          \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            12*\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3   *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        /
$$x_{1} = \operatorname{atan}{\left(- \frac{1}{2} + \frac{2^{\frac{5}{12}} \sqrt{- 3 \cdot 2^{\frac{5}{6}} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}} \sqrt{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}} - 402 \sqrt{2} \sqrt{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}} - 48 \sqrt{6} \sqrt{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}} + 12 \cdot \sqrt[6]{2} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} \sqrt{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}} + 108 \sqrt{6} \sqrt{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 48 \cdot \sqrt[6]{2} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} \sqrt{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}}}}{12 \sqrt[6]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} \sqrt[4]{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}}} + \frac{2^{\frac{2}{3}} \sqrt{3} \sqrt{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}}}{12 \sqrt[6]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}}} \right)}$$
Сумма и произведение корней [src]
сумма
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    |       2/3   ___   /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___       5/12   /            ___   /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___           ___   /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___            ___   /              ___       ___   /              ___        5/6 |            ___       ___   /              ___ |      /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___         6 ___ 3 /              ___       ___   /              ___     /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___         6 ___   ___ 3 /              ___       ___   /              ___     /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___    |
    |  1   2   *\/ 3 *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3       2    *\/     - 402*\/ 2 *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3     - 48*\/ 6 *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3     + 108*\/ 6 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    - 3*2   *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /   *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3     + 12*\/ 2 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3   *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3     + 48*\/ 2 *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3   *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3     |
atan|- - + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
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    |                                                                                          12*\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                6 /              ___       ___   /              ___   4 /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       |
    \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            12*\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3   *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        /
$$\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{2^{\frac{5}{12}} \sqrt{- 3 \cdot 2^{\frac{5}{6}} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}} \sqrt{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}} - 402 \sqrt{2} \sqrt{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}} - 48 \sqrt{6} \sqrt{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}} + 12 \cdot \sqrt[6]{2} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} \sqrt{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}} + 108 \sqrt{6} \sqrt{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 48 \cdot \sqrt[6]{2} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} \sqrt{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}}}}{12 \sqrt[6]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} \sqrt[4]{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}}} + \frac{2^{\frac{2}{3}} \sqrt{3} \sqrt{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}}}{12 \sqrt[6]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}}} \right)}\right)$$
=
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    |       2/3   ___   /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___       5/12   /            ___   /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___           ___   /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___            ___   /              ___       ___   /              ___        5/6 |            ___       ___   /              ___ |      /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___         6 ___ 3 /              ___       ___   /              ___     /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___         6 ___   ___ 3 /              ___       ___   /              ___     /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___    |
    |  1   2   *\/ 3 *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3       2    *\/     - 402*\/ 2 *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3     - 48*\/ 6 *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3     + 108*\/ 6 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    - 3*2   *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /   *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3     + 12*\/ 2 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3   *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3     + 48*\/ 2 *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3   *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3     |
atan|- - + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
    |  2                                                                                              _________________________________________________                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        _______________________________________________________________________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    |
    |                                                                                                /                              __________________                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  _________________________________________________     /                                                                         2/3            _________________________________________________                    _________________________________________________                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     |
    |                                                                                             6 /              ___       ___   /              ___                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  /                              __________________     /                         /                             __________________\              /                              __________________                    /                              __________________                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      |
    |                                                                                          12*\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                6 /              ___       ___   /              ___   4 /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       |
    \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            12*\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3   *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        /
$$\operatorname{atan}{\left(- \frac{1}{2} + \frac{2^{\frac{5}{12}} \sqrt{- 3 \cdot 2^{\frac{5}{6}} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}} \sqrt{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}} - 402 \sqrt{2} \sqrt{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}} - 48 \sqrt{6} \sqrt{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}} + 12 \cdot \sqrt[6]{2} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} \sqrt{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}} + 108 \sqrt{6} \sqrt{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 48 \cdot \sqrt[6]{2} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} \sqrt{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}}}}{12 \sqrt[6]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} \sqrt[4]{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}}} + \frac{2^{\frac{2}{3}} \sqrt{3} \sqrt{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}}}{12 \sqrt[6]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}}} \right)}$$
произведение
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    |                    /                         /                             __________________\              /                              __________________                    /                              __________________              /                  /                         /                             __________________\              /                              __________________                    /                              __________________                 /                         /                             __________________\              /                              __________________                    /                              __________________                  /                              __________________           /                             __________________\       /                         /                             __________________\              /                              __________________                    /                              __________________                 /                              __________________     /                         /                             __________________\              /                              __________________                    /                              __________________                       /                              __________________     /                         /                             __________________\              /                              __________________                    /                              __________________   |
    |       2/3   ___   /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___       5/12   /            ___   /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___           ___   /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___            ___   /              ___       ___   /              ___        5/6 |            ___       ___   /              ___ |      /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___         6 ___ 3 /              ___       ___   /              ___     /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___         6 ___   ___ 3 /              ___       ___   /              ___     /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___    |
    |  1   2   *\/ 3 *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3       2    *\/     - 402*\/ 2 *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3     - 48*\/ 6 *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3     + 108*\/ 6 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    - 3*2   *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /   *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3     + 12*\/ 2 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3   *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3     + 48*\/ 2 *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3   *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3     |
atan|- - + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
    |  2                                                                                              _________________________________________________                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        _______________________________________________________________________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    |
    |                                                                                                /                              __________________                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  _________________________________________________     /                                                                         2/3            _________________________________________________                    _________________________________________________                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     |
    |                                                                                             6 /              ___       ___   /              ___                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  /                              __________________     /                         /                             __________________\              /                              __________________                    /                              __________________                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      |
    |                                                                                          12*\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                6 /              ___       ___   /              ___   4 /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       |
    \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            12*\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3   *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        /
$$\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{2^{\frac{5}{12}} \sqrt{- 3 \cdot 2^{\frac{5}{6}} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}} \sqrt{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}} - 402 \sqrt{2} \sqrt{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}} - 48 \sqrt{6} \sqrt{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}} + 12 \cdot \sqrt[6]{2} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} \sqrt{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}} + 108 \sqrt{6} \sqrt{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 48 \cdot \sqrt[6]{2} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} \sqrt{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}}}}{12 \sqrt[6]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} \sqrt[4]{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}}} + \frac{2^{\frac{2}{3}} \sqrt{3} \sqrt{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}}}{12 \sqrt[6]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}}} \right)}\right)$$
=
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    |                    /                         /                             __________________\              /                              __________________                    /                              __________________              /                  /                         /                             __________________\              /                              __________________                    /                              __________________                 /                         /                             __________________\              /                              __________________                    /                              __________________                  /                              __________________           /                             __________________\       /                         /                             __________________\              /                              __________________                    /                              __________________                 /                              __________________     /                         /                             __________________\              /                              __________________                    /                              __________________                       /                              __________________     /                         /                             __________________\              /                              __________________                    /                              __________________   |
    |       2/3   ___   /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___       5/12   /            ___   /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___           ___   /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___            ___   /              ___       ___   /              ___        5/6 |            ___       ___   /              ___ |      /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___         6 ___ 3 /              ___       ___   /              ___     /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___         6 ___   ___ 3 /              ___       ___   /              ___     /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___    |
    |  1   2   *\/ 3 *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3       2    *\/     - 402*\/ 2 *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3     - 48*\/ 6 *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3     + 108*\/ 6 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    - 3*2   *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /   *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3     + 12*\/ 2 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3   *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3     + 48*\/ 2 *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3   *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3     |
atan|- - + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
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    |                                                                                                /                              __________________                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  _________________________________________________     /                                                                         2/3            _________________________________________________                    _________________________________________________                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     |
    |                                                                                             6 /              ___       ___   /              ___                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  /                              __________________     /                         /                             __________________\              /                              __________________                    /                              __________________                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      |
    |                                                                                          12*\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                6 /              ___       ___   /              ___   4 /              ___   3 ___ |            ___       ___   /              ___ |       2/3 3 /              ___       ___   /              ___        2/3   ___ 3 /              ___       ___   /              ___                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       |
    \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            12*\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3   *\/    134 + 16*\/ 3  + \/ 2 *\587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3  /    + 2   *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3    + 4*2   *\/ 3 *\/   587 + 624*\/ 3  + 9*\/ 3 *\/  639 + 1216*\/ 3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        /
$$\operatorname{atan}{\left(- \frac{1}{2} + \frac{2^{\frac{5}{12}} \sqrt{- 3 \cdot 2^{\frac{5}{6}} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}} \sqrt{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}} - 402 \sqrt{2} \sqrt{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}} - 48 \sqrt{6} \sqrt{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}} + 12 \cdot \sqrt[6]{2} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} \sqrt{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}} + 108 \sqrt{6} \sqrt{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 48 \cdot \sqrt[6]{2} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} \sqrt{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}}}}{12 \sqrt[6]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} \sqrt[4]{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}}} + \frac{2^{\frac{2}{3}} \sqrt{3} \sqrt{2^{\frac{2}{3}} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + 16 \sqrt{3} + 134 + 4 \cdot 2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}} + \sqrt[3]{2} \left(587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}\right)^{\frac{2}{3}}}}{12 \sqrt[6]{587 + 9 \sqrt{3} \sqrt{639 + 1216 \sqrt{3}} + 624 \sqrt{3}}} \right)}$$
Численный ответ [src]
x1 = 63.8240698526496
x2 = -52.4148583301728
x3 = -39.8484877158136
x4 = -33.565302408634
x5 = 76.3904404670088
x6 = 32.4081433167517
x7 = 92.0984037349577
x8 = -8.43256117991565
x9 = -55.5564509837626
x10 = -30.4237097550442
x11 = -77.5475995588911
x12 = -46.1316730229932
x13 = -68.1228215981217
x14 = -96.3971554804299
x15 = 57.54088454547
x16 = -99.5387481340197
x17 = 98.3815890421373
x18 = -90.1139701732503
x19 = -2.14937587273607
x20 = -83.8307848660707
x21 = 70.1072551598292
x22 = 10.4169947416231
x23 = 19.8417727023925
x24 = 41.832921277521
x25 = 26.1249580095721
x26 = -74.4060069053013
x27 = -61.8396362909421
x28 = 48.1161065847006
x29 = -24.1405244478646
x30 = 54.3992918918802
x31 = 4.13380943444352
x32 = -17.857339140685
x33 = -11.5741538335054
x34 = 85.8152184277781
x34 = 85.8152184277781
График
tg²x-√3tgx=√3-tgx уравнение