Тригонометрическая часть
[src]
$$\frac{l}{\sec{\left(20 \right)}}$$
/ pi\
l*sin|20 + --|
\ 2 /
$$l \sin{\left(\frac{\pi}{2} + 20 \right)}$$
l
-------------
/ pi\
csc|-20 + --|
\ 2 /
$$\frac{l}{\csc{\left(-20 + \frac{\pi}{2} \right)}}$$
/ pi\
l*(1 + sin(20))*cot|10 + --|
\ 4 /
$$l \left(\sin{\left(20 \right)} + 1\right) \cot{\left(\frac{\pi}{4} + 10 \right)}$$
/ 2 \
l*\-1 + cot (10)/
-----------------
2
1 + cot (10)
$$\frac{l \left(-1 + \cot^{2}{\left(10 \right)}\right)}{1 + \cot^{2}{\left(10 \right)}}$$
/ 2 \
l*\1 - tan (10)/
----------------
2
1 + tan (10)
$$\frac{l \left(- \tan^{2}{\left(10 \right)} + 1\right)}{\tan^{2}{\left(10 \right)} + 1}$$
/ pi\
2*l*tan|10 + --|
\ 4 /
-----------------
2/ pi\
1 + tan |10 + --|
\ 4 /
$$\frac{2 l \tan{\left(\frac{\pi}{4} + 10 \right)}}{1 + \tan^{2}{\left(\frac{\pi}{4} + 10 \right)}}$$
/ pi\
2*l*cot|10 + --|
\ 4 /
-----------------
2/ pi\
1 + cot |10 + --|
\ 4 /
$$\frac{2 l \cot{\left(\frac{\pi}{4} + 10 \right)}}{\cot^{2}{\left(\frac{\pi}{4} + 10 \right)} + 1}$$
/ 1 \
l*|-1 + --------|
| 2 |
\ tan (10)/
-----------------
1
1 + --------
2
tan (10)
$$\frac{l \left(-1 + \frac{1}{\tan^{2}{\left(10 \right)}}\right)}{1 + \frac{1}{\tan^{2}{\left(10 \right)}}}$$
/ 1 \
l*|1 - --------|
| 2 |
\ cot (10)/
----------------
1
1 + --------
2
cot (10)
$$\frac{l \left(- \frac{1}{\cot^{2}{\left(10 \right)}} + 1\right)}{\frac{1}{\cot^{2}{\left(10 \right)}} + 1}$$
2*l*(-1 - cos(40) + 2*cos(20))
------------------------------
2
1 - cos(40) + 2*(1 - cos(20))
$$\frac{2 l \left(-1 - \cos{\left(40 \right)} + 2 \cos{\left(20 \right)}\right)}{- \cos{\left(40 \right)} + 2 \left(- \cos{\left(20 \right)} + 1\right)^{2} + 1}$$
/ 2 \
| sin (20) |
l*|-1 + ----------|
| 4 |
\ 4*sin (10)/
-------------------
2
sin (20)
1 + ----------
4
4*sin (10)
$$\frac{l \left(-1 + \frac{\sin^{2}{\left(20 \right)}}{4 \sin^{4}{\left(10 \right)}}\right)}{1 + \frac{\sin^{2}{\left(20 \right)}}{4 \sin^{4}{\left(10 \right)}}}$$
/ 4 \
| 4*sin (10)|
l*|1 - ----------|
| 2 |
\ sin (20) /
------------------
4
4*sin (10)
1 + ----------
2
sin (20)
$$\frac{l \left(- \frac{4 \sin^{4}{\left(10 \right)}}{\sin^{2}{\left(20 \right)}} + 1\right)}{\frac{4 \sin^{4}{\left(10 \right)}}{\sin^{2}{\left(20 \right)}} + 1}$$
/ 2 \
| csc (10) |
l*|-1 + --------------|
| 2/ pi\|
| csc |-10 + --||
\ \ 2 //
-----------------------
2
csc (10)
1 + --------------
2/ pi\
csc |-10 + --|
\ 2 /
$$\frac{l \left(-1 + \frac{\csc^{2}{\left(10 \right)}}{\csc^{2}{\left(-10 + \frac{\pi}{2} \right)}}\right)}{1 + \frac{\csc^{2}{\left(10 \right)}}{\csc^{2}{\left(-10 + \frac{\pi}{2} \right)}}}$$
/ 2/ pi\\
| csc |-10 + --||
| \ 2 /|
l*|1 - --------------|
| 2 |
\ csc (10) /
----------------------
2/ pi\
csc |-10 + --|
\ 2 /
1 + --------------
2
csc (10)
$$\frac{l \left(- \frac{\csc^{2}{\left(-10 + \frac{\pi}{2} \right)}}{\csc^{2}{\left(10 \right)}} + 1\right)}{\frac{\csc^{2}{\left(-10 + \frac{\pi}{2} \right)}}{\csc^{2}{\left(10 \right)}} + 1}$$
/ 2/ pi\\
| sec |10 - --||
| \ 2 /|
l*|-1 + -------------|
| 2 |
\ sec (10) /
----------------------
2/ pi\
sec |10 - --|
\ 2 /
1 + -------------
2
sec (10)
$$\frac{l \left(-1 + \frac{\sec^{2}{\left(- \frac{\pi}{2} + 10 \right)}}{\sec^{2}{\left(10 \right)}}\right)}{1 + \frac{\sec^{2}{\left(- \frac{\pi}{2} + 10 \right)}}{\sec^{2}{\left(10 \right)}}}$$
/ 2 \
| cos (10) |
l*|-1 + -------------|
| 2/ pi\|
| cos |10 - --||
\ \ 2 //
----------------------
2
cos (10)
1 + -------------
2/ pi\
cos |10 - --|
\ 2 /
$$\frac{l \left(-1 + \frac{\cos^{2}{\left(10 \right)}}{\cos^{2}{\left(- \frac{\pi}{2} + 10 \right)}}\right)}{1 + \frac{\cos^{2}{\left(10 \right)}}{\cos^{2}{\left(- \frac{\pi}{2} + 10 \right)}}}$$
/ 2/ pi\\
| cos |10 - --||
| \ 2 /|
l*|1 - -------------|
| 2 |
\ cos (10) /
---------------------
2/ pi\
cos |10 - --|
\ 2 /
1 + -------------
2
cos (10)
$$\frac{l \left(- \frac{\cos^{2}{\left(- \frac{\pi}{2} + 10 \right)}}{\cos^{2}{\left(10 \right)}} + 1\right)}{\frac{\cos^{2}{\left(- \frac{\pi}{2} + 10 \right)}}{\cos^{2}{\left(10 \right)}} + 1}$$
/ 2 \
| sec (10) |
l*|1 - -------------|
| 2/ pi\|
| sec |10 - --||
\ \ 2 //
---------------------
2
sec (10)
1 + -------------
2/ pi\
sec |10 - --|
\ 2 /
$$\frac{l \left(- \frac{\sec^{2}{\left(10 \right)}}{\sec^{2}{\left(- \frac{\pi}{2} + 10 \right)}} + 1\right)}{\frac{\sec^{2}{\left(10 \right)}}{\sec^{2}{\left(- \frac{\pi}{2} + 10 \right)}} + 1}$$
l*(1 - sec(10)^2/sec(10 - pi/2)^2)/(1 + sec(10)^2/sec(10 - pi/2)^2)