Parte trigonométrica
[src]
___ / pi\
\/ 2 *csc|-5*a + --|
\ 4 /
--------------------
/pi \
2*csc|-- - 10*a|
\2 /
2 csc ( − 5 a + π 4 ) 2 csc ( − 10 a + π 2 ) \frac{\sqrt{2} \csc{\left(- 5 a + \frac{\pi}{4} \right)}}{2 \csc{\left(- 10 a + \frac{\pi}{2} \right)}} 2 csc ( − 10 a + 2 π ) 2 csc ( − 5 a + 4 π )
___ 2 / 2/pi 5*a\\ / 2 \
\/ 2 *cos (5*a)*|1 + tan |-- + ---||*\1 - tan (5*a)/
\ \8 2 //
----------------------------------------------------
/ 2/pi 5*a\\
2*|1 - tan |-- + ---||
\ \8 2 //
2 ( 1 − tan 2 ( 5 a ) ) ( tan 2 ( 5 a 2 + π 8 ) + 1 ) cos 2 ( 5 a ) 2 ( 1 − tan 2 ( 5 a 2 + π 8 ) ) \frac{\sqrt{2} \left(1 - \tan^{2}{\left(5 a \right)}\right) \left(\tan^{2}{\left(\frac{5 a}{2} + \frac{\pi}{8} \right)} + 1\right) \cos^{2}{\left(5 a \right)}}{2 \left(1 - \tan^{2}{\left(\frac{5 a}{2} + \frac{\pi}{8} \right)}\right)} 2 ( 1 − tan 2 ( 2 5 a + 8 π ) ) 2 ( 1 − tan 2 ( 5 a ) ) ( tan 2 ( 2 5 a + 8 π ) + 1 ) cos 2 ( 5 a )
cos(10*a)
--------------------------
/ pi\
- cos|5*a - --| + cos(5*a)
\ 2 /
cos ( 10 a ) cos ( 5 a ) − cos ( 5 a − π 2 ) \frac{\cos{\left(10 a \right)}}{\cos{\left(5 a \right)} - \cos{\left(5 a - \frac{\pi}{2} \right)}} cos ( 5 a ) − cos ( 5 a − 2 π ) cos ( 10 a )
1
------------------------------------
/ 1 1 \
|-------- - -------------|*sec(10*a)
|sec(5*a) / pi\|
| sec|5*a - --||
\ \ 2 //
1 ( − 1 sec ( 5 a − π 2 ) + 1 sec ( 5 a ) ) sec ( 10 a ) \frac{1}{\left(- \frac{1}{\sec{\left(5 a - \frac{\pi}{2} \right)}} + \frac{1}{\sec{\left(5 a \right)}}\right) \sec{\left(10 a \right)}} ( − s e c ( 5 a − 2 π ) 1 + s e c ( 5 a ) 1 ) sec ( 10 a ) 1
1
-------------------------------
/ 1 1 \
|-------- - --------|*sec(10*a)
\sec(5*a) csc(5*a)/
1 ( 1 sec ( 5 a ) − 1 csc ( 5 a ) ) sec ( 10 a ) \frac{1}{\left(\frac{1}{\sec{\left(5 a \right)}} - \frac{1}{\csc{\left(5 a \right)}}\right) \sec{\left(10 a \right)}} ( s e c ( 5 a ) 1 − c s c ( 5 a ) 1 ) sec ( 10 a ) 1
2
1 - tan (5*a)
-----------------------------------------------
/ 2/5*a\ /5*a\ \
|1 - tan |---| 2*tan|---| |
/ 2 \ | \ 2 / \ 2 / |
\1 + tan (5*a)/*|------------- - -------------|
| 2/5*a\ 2/5*a\|
|1 + tan |---| 1 + tan |---||
\ \ 2 / \ 2 //
1 − tan 2 ( 5 a ) ( 1 − tan 2 ( 5 a 2 ) tan 2 ( 5 a 2 ) + 1 − 2 tan ( 5 a 2 ) tan 2 ( 5 a 2 ) + 1 ) ( tan 2 ( 5 a ) + 1 ) \frac{1 - \tan^{2}{\left(5 a \right)}}{\left(\frac{1 - \tan^{2}{\left(\frac{5 a}{2} \right)}}{\tan^{2}{\left(\frac{5 a}{2} \right)} + 1} - \frac{2 \tan{\left(\frac{5 a}{2} \right)}}{\tan^{2}{\left(\frac{5 a}{2} \right)} + 1}\right) \left(\tan^{2}{\left(5 a \right)} + 1\right)} ( t a n 2 ( 2 5 a ) + 1 1 − t a n 2 ( 2 5 a ) − t a n 2 ( 2 5 a ) + 1 2 t a n ( 2 5 a ) ) ( tan 2 ( 5 a ) + 1 ) 1 − tan 2 ( 5 a )
___ /pi 5*a\
2*\/ 2 *cot|-- + ---|
\8 2 /
---------------------
2/pi 5*a\
1 + cot |-- + ---|
\8 2 /
2 2 cot ( 5 a 2 + π 8 ) cot 2 ( 5 a 2 + π 8 ) + 1 \frac{2 \sqrt{2} \cot{\left(\frac{5 a}{2} + \frac{\pi}{8} \right)}}{\cot^{2}{\left(\frac{5 a}{2} + \frac{\pi}{8} \right)} + 1} cot 2 ( 2 5 a + 8 π ) + 1 2 2 cot ( 2 5 a + 8 π )
___ / pi\
\/ 2 *cos|5*a - --|
\ 4 /
2 cos ( 5 a − π 4 ) \sqrt{2} \cos{\left(5 a - \frac{\pi}{4} \right)} 2 cos ( 5 a − 4 π )
___ /pi \
\/ 2 *sin|-- + 10*a|
\2 /
--------------------
/ 3*pi\
2*sin|5*a + ----|
\ 4 /
2 sin ( 10 a + π 2 ) 2 sin ( 5 a + 3 π 4 ) \frac{\sqrt{2} \sin{\left(10 a + \frac{\pi}{2} \right)}}{2 \sin{\left(5 a + \frac{3 \pi}{4} \right)}} 2 sin ( 5 a + 4 3 π ) 2 sin ( 10 a + 2 π )
___ / pi\
\/ 2 *cos(10*a)*csc|-5*a + --|
\ 4 /
------------------------------
2
2 cos ( 10 a ) csc ( − 5 a + π 4 ) 2 \frac{\sqrt{2} \cos{\left(10 a \right)} \csc{\left(- 5 a + \frac{\pi}{4} \right)}}{2} 2 2 cos ( 10 a ) csc ( − 5 a + 4 π )
1
-----------------------------------------
/ 1 1 \ /pi \
|------------- - --------|*csc|-- - 10*a|
| /pi \ csc(5*a)| \2 /
|csc|-- - 5*a| |
\ \2 / /
1 ( 1 csc ( − 5 a + π 2 ) − 1 csc ( 5 a ) ) csc ( − 10 a + π 2 ) \frac{1}{\left(\frac{1}{\csc{\left(- 5 a + \frac{\pi}{2} \right)}} - \frac{1}{\csc{\left(5 a \right)}}\right) \csc{\left(- 10 a + \frac{\pi}{2} \right)}} ( c s c ( − 5 a + 2 π ) 1 − c s c ( 5 a ) 1 ) csc ( − 10 a + 2 π ) 1
___
\/ 2
-------------
/ pi\
sec|5*a - --|
\ 4 /
2 sec ( 5 a − π 4 ) \frac{\sqrt{2}}{\sec{\left(5 a - \frac{\pi}{4} \right)}} sec ( 5 a − 4 π ) 2
___ / 2/pi 5*a\\ / 2 \
\/ 2 *|1 + cot |-- + ---||*\-1 + cot (5*a)/
\ \8 2 //
-------------------------------------------
/ 2 \ / 2/pi 5*a\\
2*\1 + cot (5*a)/*|-1 + cot |-- + ---||
\ \8 2 //
2 ( cot 2 ( 5 a ) − 1 ) ( cot 2 ( 5 a 2 + π 8 ) + 1 ) 2 ( cot 2 ( 5 a ) + 1 ) ( cot 2 ( 5 a 2 + π 8 ) − 1 ) \frac{\sqrt{2} \left(\cot^{2}{\left(5 a \right)} - 1\right) \left(\cot^{2}{\left(\frac{5 a}{2} + \frac{\pi}{8} \right)} + 1\right)}{2 \left(\cot^{2}{\left(5 a \right)} + 1\right) \left(\cot^{2}{\left(\frac{5 a}{2} + \frac{\pi}{8} \right)} - 1\right)} 2 ( cot 2 ( 5 a ) + 1 ) ( cot 2 ( 2 5 a + 8 π ) − 1 ) 2 ( cot 2 ( 5 a ) − 1 ) ( cot 2 ( 2 5 a + 8 π ) + 1 )
___ / 2/pi 5*a\\ / 2 \
\/ 2 *|1 + tan |-- + ---||*\1 - tan (5*a)/
\ \8 2 //
------------------------------------------
/ 2 \ / 2/pi 5*a\\
2*\1 + tan (5*a)/*|1 - tan |-- + ---||
\ \8 2 //
2 ( 1 − tan 2 ( 5 a ) ) ( tan 2 ( 5 a 2 + π 8 ) + 1 ) 2 ( 1 − tan 2 ( 5 a 2 + π 8 ) ) ( tan 2 ( 5 a ) + 1 ) \frac{\sqrt{2} \left(1 - \tan^{2}{\left(5 a \right)}\right) \left(\tan^{2}{\left(\frac{5 a}{2} + \frac{\pi}{8} \right)} + 1\right)}{2 \left(1 - \tan^{2}{\left(\frac{5 a}{2} + \frac{\pi}{8} \right)}\right) \left(\tan^{2}{\left(5 a \right)} + 1\right)} 2 ( 1 − tan 2 ( 2 5 a + 8 π ) ) ( tan 2 ( 5 a ) + 1 ) 2 ( 1 − tan 2 ( 5 a ) ) ( tan 2 ( 2 5 a + 8 π ) + 1 )
___
\/ 2
-------------
/ pi\
csc|5*a + --|
\ 4 /
2 csc ( 5 a + π 4 ) \frac{\sqrt{2}}{\csc{\left(5 a + \frac{\pi}{4} \right)}} csc ( 5 a + 4 π ) 2
___ / pi\
\/ 2 *sin|5*a + --|
\ 4 /
2 sin ( 5 a + π 4 ) \sqrt{2} \sin{\left(5 a + \frac{\pi}{4} \right)} 2 sin ( 5 a + 4 π )
/pi \
sin|-- + 10*a|
\2 /
-------------------------
/pi \
-sin(5*a) + sin|-- + 5*a|
\2 /
sin ( 10 a + π 2 ) − sin ( 5 a ) + sin ( 5 a + π 2 ) \frac{\sin{\left(10 a + \frac{\pi}{2} \right)}}{- \sin{\left(5 a \right)} + \sin{\left(5 a + \frac{\pi}{2} \right)}} − sin ( 5 a ) + sin ( 5 a + 2 π ) sin ( 10 a + 2 π )
___
\/ 2 *cos(10*a)
---------------
/ pi\
2*cos|5*a + --|
\ 4 /
2 cos ( 10 a ) 2 cos ( 5 a + π 4 ) \frac{\sqrt{2} \cos{\left(10 a \right)}}{2 \cos{\left(5 a + \frac{\pi}{4} \right)}} 2 cos ( 5 a + 4 π ) 2 cos ( 10 a )
___ / pi\
\/ 2 *sec|5*a + --|
\ 4 /
-------------------
2*sec(10*a)
2 sec ( 5 a + π 4 ) 2 sec ( 10 a ) \frac{\sqrt{2} \sec{\left(5 a + \frac{\pi}{4} \right)}}{2 \sec{\left(10 a \right)}} 2 sec ( 10 a ) 2 sec ( 5 a + 4 π )
___ /pi 5*a\
2*\/ 2 *tan|-- + ---|
\8 2 /
---------------------
2/pi 5*a\
1 + tan |-- + ---|
\8 2 /
2 2 tan ( 5 a 2 + π 8 ) tan 2 ( 5 a 2 + π 8 ) + 1 \frac{2 \sqrt{2} \tan{\left(\frac{5 a}{2} + \frac{\pi}{8} \right)}}{\tan^{2}{\left(\frac{5 a}{2} + \frac{\pi}{8} \right)} + 1} tan 2 ( 2 5 a + 8 π ) + 1 2 2 tan ( 2 5 a + 8 π )
2
-1 + cot (5*a)
------------------------------------------------
/ 2/5*a\ /5*a\ \
|-1 + cot |---| 2*cot|---| |
/ 2 \ | \ 2 / \ 2 / |
\1 + cot (5*a)/*|-------------- - -------------|
| 2/5*a\ 2/5*a\|
|1 + cot |---| 1 + cot |---||
\ \ 2 / \ 2 //
cot 2 ( 5 a ) − 1 ( cot 2 ( 5 a 2 ) − 1 cot 2 ( 5 a 2 ) + 1 − 2 cot ( 5 a 2 ) cot 2 ( 5 a 2 ) + 1 ) ( cot 2 ( 5 a ) + 1 ) \frac{\cot^{2}{\left(5 a \right)} - 1}{\left(\frac{\cot^{2}{\left(\frac{5 a}{2} \right)} - 1}{\cot^{2}{\left(\frac{5 a}{2} \right)} + 1} - \frac{2 \cot{\left(\frac{5 a}{2} \right)}}{\cot^{2}{\left(\frac{5 a}{2} \right)} + 1}\right) \left(\cot^{2}{\left(5 a \right)} + 1\right)} ( c o t 2 ( 2 5 a ) + 1 c o t 2 ( 2 5 a ) − 1 − c o t 2 ( 2 5 a ) + 1 2 c o t ( 2 5 a ) ) ( cot 2 ( 5 a ) + 1 ) cot 2 ( 5 a ) − 1
___
-\/ 2 *cos(10*a)
---------------------------------------------------------
___________ ___________
___ / ___ / ___
- \/ 2 *cos(5*a) + \/ 2 + \/ 2 *\/ 2 - \/ 2 *sin(5*a)
− 2 cos ( 10 a ) 2 − 2 2 + 2 sin ( 5 a ) − 2 cos ( 5 a ) - \frac{\sqrt{2} \cos{\left(10 a \right)}}{\sqrt{2 - \sqrt{2}} \sqrt{\sqrt{2} + 2} \sin{\left(5 a \right)} - \sqrt{2} \cos{\left(5 a \right)}} − 2 − 2 2 + 2 sin ( 5 a ) − 2 cos ( 5 a ) 2 cos ( 10 a )
___ / pi\
\/ 2 *cos(10*a)*sec|5*a + --|
\ 4 /
-----------------------------
2
2 cos ( 10 a ) sec ( 5 a + π 4 ) 2 \frac{\sqrt{2} \cos{\left(10 a \right)} \sec{\left(5 a + \frac{\pi}{4} \right)}}{2} 2 2 cos ( 10 a ) sec ( 5 a + 4 π )
___ 2/pi + 20*a\ /pi 5*a\
2*\/ 2 *sin |---------|*cot|-- + ---|
\ 8 / \8 2 /
2 2 sin 2 ( 20 a + π 8 ) cot ( 5 a 2 + π 8 ) 2 \sqrt{2} \sin^{2}{\left(\frac{20 a + \pi}{8} \right)} \cot{\left(\frac{5 a}{2} + \frac{\pi}{8} \right)} 2 2 sin 2 ( 8 20 a + π ) cot ( 2 5 a + 8 π )
2*sqrt(2)*sin((pi + 20*a)/8)^2*cot(pi/8 + 5*a/2)