1 cos(120)
- - + --------
2 2
$$- \frac{1}{2} + \frac{\cos{\left(120 \right)}}{2}$$
2
- sin (a) + sin(-60 + a)*sin(60 + a)
$$- \sin^{2}{\left(a \right)} + \sin{\left(a - 60 \right)} \sin{\left(a + 60 \right)}$$
-sin(a)^2 + sin(-60 + a)*sin(60 + a)
2
- sin (a) + sin(-60 + a)*sin(60 + a)
$$- \sin^{2}{\left(a \right)} + \sin{\left(a - 60 \right)} \sin{\left(a + 60 \right)}$$
-sin(a)^2 + sin(-60 + a)*sin(60 + a)
-sin(a)^2 + sin(a + 60)*sin(a - 1*60)
-sin(a)^2 + sin(a + 60)*sin(a - 1*60)
Объединение рациональных выражений
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2
- sin (a) + sin(-60 + a)*sin(60 + a)
$$- \sin^{2}{\left(a \right)} + \sin{\left(a - 60 \right)} \sin{\left(a + 60 \right)}$$
-sin(a)^2 + sin(-60 + a)*sin(60 + a)
2 2 2 2 2
- sin (a) + cos (60)*sin (a) - cos (a)*sin (60)
$$- \sin^{2}{\left(a \right)} + \sin^{2}{\left(a \right)} \cos^{2}{\left(60 \right)} - \sin^{2}{\left(60 \right)} \cos^{2}{\left(a \right)}$$
2
- sin (a) + (cos(60)*sin(a) + cos(a)*sin(60))*(cos(60)*sin(a) - cos(a)*sin(60))
$$\left(\sin{\left(a \right)} \cos{\left(60 \right)} - \sin{\left(60 \right)} \cos{\left(a \right)}\right) \left(\sin{\left(a \right)} \cos{\left(60 \right)} + \sin{\left(60 \right)} \cos{\left(a \right)}\right) - \sin^{2}{\left(a \right)}$$
-sin(a)^2 + (cos(60)*sin(a) + cos(a)*sin(60))*(cos(60)*sin(a) - cos(a)*sin(60))
2
- sin (a) + sin(-60 + a)*sin(60 + a)
$$- \sin^{2}{\left(a \right)} + \sin{\left(a - 60 \right)} \sin{\left(a + 60 \right)}$$
2
/ -I*a I*a\ / I*(-60 - a) I*(60 + a)\ / I*(60 - a) I*(-60 + a)\
\- e + e / \- e + e /*\- e + e /
----------------- - -------------------------------------------------------------
4 4
$$\frac{\left(e^{i a} - e^{- i a}\right)^{2}}{4} - \frac{\left(- e^{i \left(- a + 60\right)} + e^{i \left(a - 60\right)}\right) \left(- e^{i \left(- a - 60\right)} + e^{i \left(a + 60\right)}\right)}{4}$$
(-exp(-i*a) + exp(i*a))^2/4 - (-exp(i*(-60 - a)) + exp(i*(60 + a)))*(-exp(i*(60 - a)) + exp(i*(-60 + a)))/4
Рациональный знаменатель
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2
- sin (a) + sin(-60 + a)*sin(60 + a)
$$- \sin^{2}{\left(a \right)} + \sin{\left(a - 60 \right)} \sin{\left(a + 60 \right)}$$
-sin(a)^2 + sin(-60 + a)*sin(60 + a)
1 cos(120)
- - + --------
2 2
$$- \frac{1}{2} + \frac{\cos{\left(120 \right)}}{2}$$