/ -3*pi*I 3*pi*I\
| ------- ------|
| 2 + a 2 + a |
|e e |
2*I*|-------- + -------|
\ 2 2 /
------------------------
-I*a I*a
- e + e
$$\frac{2 i \left(\frac{e^{\frac{3 i \pi}{a + 2}}}{2} + \frac{e^{- \frac{3 i \pi}{a + 2}}}{2}\right)}{e^{i a} - e^{- i a}}$$
2*i*(exp(-3*pi*i/(2 + a))/2 + exp(3*pi*i/(2 + a))/2)/(-exp(-i*a) + exp(i*a))
Parte trigonométrica
[src]
/ pi\
sec|a - --|
\ 2 /
-----------
/ 3*pi\
sec|-----|
\2 + a/
$$\frac{\sec{\left(a - \frac{\pi}{2} \right)}}{\sec{\left(\frac{3 \pi}{a + 2} \right)}}$$
csc(a)
----------
/ 3*pi\
sec|-----|
\2 + a/
$$\frac{\csc{\left(a \right)}}{\sec{\left(\frac{3 \pi}{a + 2} \right)}}$$
/ 3*pi\
cos|-----|
\2 + a/
-----------
/ pi\
cos|a - --|
\ 2 /
$$\frac{\cos{\left(\frac{3 \pi}{a + 2} \right)}}{\cos{\left(a - \frac{\pi}{2} \right)}}$$
/ 2/a\\ / 2/ 3*pi \\
|1 + cot |-||*|-1 + cot |---------||
\ \2// \ \2*(2 + a)//
------------------------------------
/ 2/ 3*pi \\ /a\
2*|1 + cot |---------||*cot|-|
\ \2*(2 + a)// \2/
$$\frac{\left(\cot^{2}{\left(\frac{a}{2} \right)} + 1\right) \left(\cot^{2}{\left(\frac{3 \pi}{2 \left(a + 2\right)} \right)} - 1\right)}{2 \left(\cot^{2}{\left(\frac{3 \pi}{2 \left(a + 2\right)} \right)} + 1\right) \cot{\left(\frac{a}{2} \right)}}$$
/pi \
sec|-- - a|
\2 /
-----------
/ 3*pi\
sec|-----|
\2 + a/
$$\frac{\sec{\left(- a + \frac{\pi}{2} \right)}}{\sec{\left(\frac{3 \pi}{a + 2} \right)}}$$
csc(a)
---------------
/pi 3*pi\
csc|-- - -----|
\2 2 + a/
$$\frac{\csc{\left(a \right)}}{\csc{\left(\frac{\pi}{2} - \frac{3 \pi}{a + 2} \right)}}$$
/pi 3*pi\
sin|-- + -----|
\2 2 + a/
---------------
sin(a)
$$\frac{\sin{\left(\frac{\pi}{2} + \frac{3 \pi}{a + 2} \right)}}{\sin{\left(a \right)}}$$
/ 2/a\\ / 2/ 3*pi \\
|1 + tan |-||*|1 - tan |---------||
\ \2// \ \2*(2 + a)//
-----------------------------------
/ 2/ 3*pi \\ /a\
2*|1 + tan |---------||*tan|-|
\ \2*(2 + a)// \2/
$$\frac{\left(1 - \tan^{2}{\left(\frac{3 \pi}{2 \left(a + 2\right)} \right)}\right) \left(\tan^{2}{\left(\frac{a}{2} \right)} + 1\right)}{2 \left(\tan^{2}{\left(\frac{3 \pi}{2 \left(a + 2\right)} \right)} + 1\right) \tan{\left(\frac{a}{2} \right)}}$$
/ 3*pi\
cos|-----|*csc(a)
\2 + a/
$$\cos{\left(\frac{3 \pi}{a + 2} \right)} \csc{\left(a \right)}$$