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