Господин Экзамен
Общий знаменатель 6*cot(pi)/4-2*sin(-pi/6)+8*cos(-pi/3)+11*tan(-pi/4)
Решение
Вы ввели
[src]
6*cot(pi) /-pi \ /-pi \ /-pi \
--------- - 2*sin|----| + 8*cos|----| + 11*tan|----|
4 \ 6 / \ 3 / \ 4 /
$$\frac{6 \cot{\left(\pi \right)}}{4} + 11 \tan{\left(\frac{\left(-1\right) \pi}{4} \right)} - 2 \sin{\left(\frac{\left(-1\right) \pi}{6} \right)} + 8 \cos{\left(\frac{\left(-1\right) \pi}{3} \right)}$$
6*cot(pi)/4 - 2*sin(-pi/6) + 8*cos(-pi/3) + 11*tan(-pi/4)
Разложение дроби
[src]
-6 + 3*cot(pi)/2
$$\frac{3 \cot{\left(\pi \right)}}{2} - 6$$
3*cot(pi)
-6 + ---------
2
Степени
[src]
zoo
$$\tilde{\infty}$$
3*cot(pi)
-6 + ---------
2
$$\frac{3 \cot{\left(\pi \right)}}{2} - 6$$
/ -pi*I pi*I\
/ pi*I -pi*I \ | ------ ----|
| ---- ------| | 4 4 |
| 6 6 | 11*I*\- e + e /
zoo + I*\- e + e / + ------------------------
-pi*I pi*I
------ ----
4 4
e + e
$$\tilde{\infty} + i \left(- e^{\frac{i \pi}{6}} + e^{- \frac{i \pi}{6}}\right) + \frac{11 i \left(- e^{- \frac{i \pi}{4}} + e^{\frac{i \pi}{4}}\right)}{e^{- \frac{i \pi}{4}} + e^{\frac{i \pi}{4}}}$$
±oo + i*(-exp(pi*i/6) + exp(-pi*i/6)) + 11*i*(-exp(-pi*i/4) + exp(pi*i/4))/(exp(-pi*i/4) + exp(pi*i/4))
Тригонометрическая часть
[src]
nan
$$\text{NaN}$$
zoo
$$\tilde{\infty}$$
3*cot(pi)
-6 + ---------
2
$$\frac{3 \cot{\left(\pi \right)}}{2} - 6$$
/-pi \ 3 ___ /-pi \
4 - 2*sin|----| - --------- + 11*\/ 2 *sin|----|
\ 6 / 2*sin(pi) \ 4 /
$$- \frac{3}{2 \sin{\left(\pi \right)}} + 11 \sqrt{2} \sin{\left(- \frac{\pi}{4} \right)} - 2 \sin{\left(- \frac{\pi}{6} \right)} + 4$$
/-2*pi\ 3 ___ /-3*pi\
4 - 2*cos|-----| - --------- + 11*\/ 2 *cos|-----|
\ 3 / /pi\ \ 4 /
2*cos|--|
\2 /
$$- \frac{3}{2 \cos{\left(\frac{\pi}{2} \right)}} + 11 \sqrt{2} \cos{\left(- \frac{3 \pi}{4} \right)} - 2 \cos{\left(- \frac{2 \pi}{3} \right)} + 4$$
4 - 2*cos(-2*pi/3) - 3/(2*cos(pi/2)) + 11*sqrt(2)*cos(-3*pi/4)