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Sin(5x)=cos(4x) la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
sin(5*x) = cos(4*x)
sin⁡(5x)=cos⁡(4x)\sin{\left(5 x \right)} = \cos{\left(4 x \right)}
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0-80-60-40-2020406080-1001002-2
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Suma y producto de raíces [src] 
suma
                                                                                                                                                                                   /      /                                  /pi\\\                                                                                                                                                                                                                                                                                                                                                                              /         /2*pi\                   /pi\ \
                                                                                                                                                                                   |      |                             2*cos|--|||                                                                                                                                                                                                                                                                                                                                                                              |      cos|----|                cos|--| |
                                                                                                                                                                                   |  ___ |        1           /2*pi\        \9 /||                                                                                                                                                                                                                                                                                                                                                                              |  1      \ 9  /       1           \9 / |
                                  /        ________________________________________________________________________________________________________________________________\       |\/ 3 *|-2 + ------- + 4*cos|----| - ---------||                                                                                                                                                                                                                /        _____________________________________________________________________________________________________________________________________________\       |- - + --------- - --------- + ---------|
                                  |       /         /2*pi\                   2/2*pi\                      /pi\         /pi\       /2*pi\        2/pi\       /pi\    /2*pi\ |       |      |        /pi\        \ 9  /       /pi\ ||                                                /   /pi\\            /   /5*pi\\                                                                                                      /         2/pi\\          |       /                      /2*pi\      2/2*pi\                                  /pi\       /2*pi\        /pi\          2/pi\       /pi\    /2*pi\ |       |  4       2            /pi\        /pi\|
                                  |      /       cos|----|                cos |----|                   cos|--|      cos|--|    cos|----|     cos |--|    cos|--|*cos|----| |       |      |     sin|--|                  sin|--| ||              /    _____________________\       |cos|--||            |sin|----||        /    _________________________\          /    ________________________________________\       |1 - 2*cos |--||          |      /                    cos|----|   cos |----|                               cos|--|    cos|----|     cos|--|       cos |--|    cos|--|*cos|----| |       |                  8*sin|--|   4*sin|--||
  5*pi   pi   pi   17*pi          |     /   13      \ 9  /       1            \ 9  /        1             \9 /         \9 /       \ 9  /         \9 /       \9 /    \ 9  / |       |      \        \18/                     \18/ /|              |   /    2/pi\      2/pi\ |       |   \9 /|            |   \ 18 /|        |   /    2/2*pi\      2/5*pi\ |          |   /        2/pi\        2/pi\        4/pi\ |       |          \18/|          |     /   1       2/2*pi\      \ 9  /       \ 9  /       1             1            \9 /       \ 9  /        \9 /           \9 /       \9 /    \ 9  / |       |                       \18/        \18/|
- ---- + -- + -- + ----- + - I*log|    /    -- - --------- - ---------- + ---------- + ----------- - ----------- + --------- + --------- + ----------- - ----------------- | + atan|----------------------------------------------| + -pi - I*log|  /  cos |--| + sin |--| | + atan|-------| + pi - atan|---------| - I*log|  /  sin |----| + sin |----| | + - I*log|  /  1 + sin |--| - 4*cos |--| + 4*cos |--| | + atan|--------------| + - I*log|    /    -- + sin |----| - --------- + ---------- + ---------- + ----------- - --------- - --------- - ----------- + ----------- + ----------------- | + atan|---------------------------------------|
   6     18   2      18           |   /     16       4             /pi\       4              2/pi\         2/pi\        /pi\        /pi\         2/pi\            /pi\     |       \                      12                      /              \\/       \9 /       \9 / /       |   /pi\|            |   /2*pi\|        \\/       \ 9  /       \ 18 / /          \\/           \9 /         \18/         \18/ /       |      /pi\    |          |   /     16       \ 9  /       4           4              /pi\         2/pi\        /pi\        /pi\         2/pi\         2/pi\            /pi\     |       |                  /2*pi\               |
                                  |  /                       16*sin|--|                64*sin |--|   16*sin |--|   8*sin|--|   8*sin|--|   16*sin |--|       4*sin|--|     |                                                                                                       |sin|--||            |sin|----||                                                                                                      |   sin|--|    |          |  /                                                 16*sin|--|   64*sin |--|   8*sin|--|   8*sin|--|   16*sin |--|   16*sin |--|       4*sin|--|     |       |               sin|----|               |
                                  \\/                              \18/                       \18/          \18/        \18/        \18/          \18/            \18/     /                                                                                                       \   \9 //            \   \ 9  //                                                                                                      \      \9 /    /          \\/                                                        \18/          \18/        \18/        \18/          \18/          \18/            \18/     /       \                  \ 9  /               /
((atan⁡(1−2cos⁡2(π18)sin⁡(π9))−ilog⁡(−4cos⁡2(π18)+sin⁡2(π9)+1+4cos⁡4(π18)))+(((−π−ilog⁡(sin⁡2(π9)+cos⁡2(π9))+atan⁡(cos⁡(π9)sin⁡(π9)))+((atan⁡(3(−2cos⁡(π9)sin⁡(π18)−2+4cos⁡(2π9)+1sin⁡(π18))12)−ilog⁡(−cos⁡(π9)16sin⁡2(π18)−cos⁡(π9)cos⁡(2π9)4sin⁡(π18)−116sin⁡(π18)−cos⁡(2π9)4+cos⁡2(2π9)4+164sin⁡2(π18)+cos⁡(2π9)8sin⁡(π18)+cos⁡(π9)8sin⁡(π18)+1316+cos⁡2(π9)16sin⁡2(π18)))+(((−5π6+π18)+π2)+17π18)))+(−atan⁡(sin⁡(5π18)sin⁡(2π9))−ilog⁡(sin⁡2(2π9)+sin⁡2(5π18))+π)))+(−ilog⁡(−cos⁡(π9)16sin⁡2(π18)−cos⁡(π9)8sin⁡(π18)−cos⁡(2π9)8sin⁡(π18)−cos⁡(2π9)4+116+cos⁡2(2π9)4+116sin⁡(π18)+sin⁡2(2π9)+164sin⁡2(π18)+cos⁡(π9)cos⁡(2π9)4sin⁡(π18)+cos⁡2(π9)16sin⁡2(π18))+atan⁡(−18sin⁡(π18)−14+cos⁡(2π9)2+cos⁡(π9)4sin⁡(π18)sin⁡(2π9)))\left(\left(\operatorname{atan}{\left(\frac{1 - 2 \cos^{2}{\left(\frac{\pi}{18} \right)}}{\sin{\left(\frac{\pi}{9} \right)}} \right)} - i \log{\left(\sqrt{- 4 \cos^{2}{\left(\frac{\pi}{18} \right)} + \sin^{2}{\left(\frac{\pi}{9} \right)} + 1 + 4 \cos^{4}{\left(\frac{\pi}{18} \right)}} \right)}\right) + \left(\left(\left(- \pi - i \log{\left(\sqrt{\sin^{2}{\left(\frac{\pi}{9} \right)} + \cos^{2}{\left(\frac{\pi}{9} \right)}} \right)} + \operatorname{atan}{\left(\frac{\cos{\left(\frac{\pi}{9} \right)}}{\sin{\left(\frac{\pi}{9} \right)}} \right)}\right) + \left(\left(\operatorname{atan}{\left(\frac{\sqrt{3} \left(- \frac{2 \cos{\left(\frac{\pi}{9} \right)}}{\sin{\left(\frac{\pi}{18} \right)}} - 2 + 4 \cos{\left(\frac{2 \pi}{9} \right)} + \frac{1}{\sin{\left(\frac{\pi}{18} \right)}}\right)}{12} \right)} - i \log{\left(\sqrt{- \frac{\cos{\left(\frac{\pi}{9} \right)}}{16 \sin^{2}{\left(\frac{\pi}{18} \right)}} - \frac{\cos{\left(\frac{\pi}{9} \right)} \cos{\left(\frac{2 \pi}{9} \right)}}{4 \sin{\left(\frac{\pi}{18} \right)}} - \frac{1}{16 \sin{\left(\frac{\pi}{18} \right)}} - \frac{\cos{\left(\frac{2 \pi}{9} \right)}}{4} + \frac{\cos^{2}{\left(\frac{2 \pi}{9} \right)}}{4} + \frac{1}{64 \sin^{2}{\left(\frac{\pi}{18} \right)}} + \frac{\cos{\left(\frac{2 \pi}{9} \right)}}{8 \sin{\left(\frac{\pi}{18} \right)}} + \frac{\cos{\left(\frac{\pi}{9} \right)}}{8 \sin{\left(\frac{\pi}{18} \right)}} + \frac{13}{16} + \frac{\cos^{2}{\left(\frac{\pi}{9} \right)}}{16 \sin^{2}{\left(\frac{\pi}{18} \right)}}} \right)}\right) + \left(\left(\left(- \frac{5 \pi}{6} + \frac{\pi}{18}\right) + \frac{\pi}{2}\right) + \frac{17 \pi}{18}\right)\right)\right) + \left(- \operatorname{atan}{\left(\frac{\sin{\left(\frac{5 \pi}{18} \right)}}{\sin{\left(\frac{2 \pi}{9} \right)}} \right)} - i \log{\left(\sqrt{\sin^{2}{\left(\frac{2 \pi}{9} \right)} + \sin^{2}{\left(\frac{5 \pi}{18} \right)}} \right)} + \pi\right)\right)\right) + \left(- i \log{\left(\sqrt{- \frac{\cos{\left(\frac{\pi}{9} \right)}}{16 \sin^{2}{\left(\frac{\pi}{18} \right)}} - \frac{\cos{\left(\frac{\pi}{9} \right)}}{8 \sin{\left(\frac{\pi}{18} \right)}} - \frac{\cos{\left(\frac{2 \pi}{9} \right)}}{8 \sin{\left(\frac{\pi}{18} \right)}} - \frac{\cos{\left(\frac{2 \pi}{9} \right)}}{4} + \frac{1}{16} + \frac{\cos^{2}{\left(\frac{2 \pi}{9} \right)}}{4} + \frac{1}{16 \sin{\left(\frac{\pi}{18} \right)}} + \sin^{2}{\left(\frac{2 \pi}{9} \right)} + \frac{1}{64 \sin^{2}{\left(\frac{\pi}{18} \right)}} + \frac{\cos{\left(\frac{\pi}{9} \right)} \cos{\left(\frac{2 \pi}{9} \right)}}{4 \sin{\left(\frac{\pi}{18} \right)}} + \frac{\cos^{2}{\left(\frac{\pi}{9} \right)}}{16 \sin^{2}{\left(\frac{\pi}{18} \right)}}} \right)} + \operatorname{atan}{\left(\frac{- \frac{1}{8 \sin{\left(\frac{\pi}{18} \right)}} - \frac{1}{4} + \frac{\cos{\left(\frac{2 \pi}{9} \right)}}{2} + \frac{\cos{\left(\frac{\pi}{9} \right)}}{4 \sin{\left(\frac{\pi}{18} \right)}}}{\sin{\left(\frac{2 \pi}{9} \right)}} \right)}\right) 
=
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       /         /2*pi\                   /pi\ \       /      /                                  /pi\\\
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       |      cos|----|                cos|--| |       |      |                             2*cos|--|||
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       |  1      \ 9  /       1           \9 / |       |  ___ |        1           /2*pi\        \9 /||
                                                                                                                                                                /        ________________________________________________________________________________________________________________________________\        /        _____________________________________________________________________________________________________________________________________________\                                              |- - + --------- - --------- + ---------|       |\/ 3 *|-2 + ------- + 4*cos|----| - ---------||
      /   /5*pi\\                                                                                                                                               |       /         /2*pi\                   2/2*pi\                      /pi\         /pi\       /2*pi\        2/pi\       /pi\    /2*pi\ |        |       /                      /2*pi\      2/2*pi\                                  /pi\       /2*pi\        /pi\          2/pi\       /pi\    /2*pi\ |       /         2/pi\\       /   /pi\\       |  4       2            /pi\        /pi\|       |      |        /pi\        \ 9  /       /pi\ ||
      |sin|----||               /    _____________________\        /    _________________________\        /    ________________________________________\        |      /       cos|----|                cos |----|                   cos|--|      cos|--|    cos|----|     cos |--|    cos|--|*cos|----| |        |      /                    cos|----|   cos |----|                               cos|--|    cos|----|     cos|--|       cos |--|    cos|--|*cos|----| |       |1 - 2*cos |--||       |cos|--||       |                  8*sin|--|   4*sin|--||       |      |     sin|--|                  sin|--| ||
      |   \ 18 /|   2*pi        |   /    2/pi\      2/pi\ |        |   /    2/2*pi\      2/5*pi\ |        |   /        2/pi\        2/pi\        4/pi\ |        |     /   13      \ 9  /       1            \ 9  /        1             \9 /         \9 /       \ 9  /         \9 /       \9 /    \ 9  / |        |     /   1       2/2*pi\      \ 9  /       \ 9  /       1             1            \9 /       \ 9  /        \9 /           \9 /       \9 /    \ 9  / |       |          \18/|       |   \9 /|       |                       \18/        \18/|       |      \        \18/                     \18/ /|
- atan|---------| + ---- - I*log|  /  cos |--| + sin |--| | - I*log|  /  sin |----| + sin |----| | - I*log|  /  1 + sin |--| - 4*cos |--| + 4*cos |--| | - I*log|    /    -- - --------- - ---------- + ---------- + ----------- - ----------- + --------- + --------- + ----------- - ----------------- | - I*log|    /    -- + sin |----| - --------- + ---------- + ---------- + ----------- - --------- - --------- - ----------- + ----------- + ----------------- | + atan|--------------| + atan|-------| + atan|---------------------------------------| + atan|----------------------------------------------|
      |   /2*pi\|    3          \\/       \9 /       \9 / /        \\/       \ 9  /       \ 18 / /        \\/           \9 /         \18/         \18/ /        |   /     16       4             /pi\       4              2/pi\         2/pi\        /pi\        /pi\         2/pi\            /pi\     |        |   /     16       \ 9  /       4           4              /pi\         2/pi\        /pi\        /pi\         2/pi\         2/pi\            /pi\     |       |      /pi\    |       |   /pi\|       |                  /2*pi\               |       \                      12                      /
      |sin|----||                                                                                                                                               |  /                       16*sin|--|                64*sin |--|   16*sin |--|   8*sin|--|   8*sin|--|   16*sin |--|       4*sin|--|     |        |  /                                                 16*sin|--|   64*sin |--|   8*sin|--|   8*sin|--|   16*sin |--|   16*sin |--|       4*sin|--|     |       |   sin|--|    |       |sin|--||       |               sin|----|               |                                                       
      \   \ 9  //                                                                                                                                               \\/                              \18/                       \18/          \18/        \18/        \18/          \18/            \18/     /        \\/                                                        \18/          \18/        \18/        \18/          \18/          \18/            \18/     /       \      \9 /    /       \   \9 //       \                  \ 9  /               /
atan⁡(1−2cos⁡2(π18)sin⁡(π9))−atan⁡(sin⁡(5π18)sin⁡(2π9))+atan⁡(3(−2cos⁡(π9)sin⁡(π18)−2+4cos⁡(2π9)+1sin⁡(π18))12)−ilog⁡(sin⁡2(π9)+cos⁡2(π9))−ilog⁡(sin⁡2(2π9)+sin⁡2(5π18))−ilog⁡(−4cos⁡2(π18)+sin⁡2(π9)+1+4cos⁡4(π18))−ilog⁡(−cos⁡(π9)16sin⁡2(π18)−cos⁡(π9)cos⁡(2π9)4sin⁡(π18)−116sin⁡(π18)−cos⁡(2π9)4+cos⁡2(2π9)4+164sin⁡2(π18)+cos⁡(2π9)8sin⁡(π18)+cos⁡(π9)8sin⁡(π18)+1316+cos⁡2(π9)16sin⁡2(π18))−ilog⁡(−cos⁡(π9)16sin⁡2(π18)−cos⁡(π9)8sin⁡(π18)−cos⁡(2π9)8sin⁡(π18)−cos⁡(2π9)4+116+cos⁡2(2π9)4+116sin⁡(π18)+sin⁡2(2π9)+164sin⁡2(π18)+cos⁡(π9)cos⁡(2π9)4sin⁡(π18)+cos⁡2(π9)16sin⁡2(π18))+atan⁡(−18sin⁡(π18)−14+cos⁡(2π9)2+cos⁡(π9)4sin⁡(π18)sin⁡(2π9))+atan⁡(cos⁡(π9)sin⁡(π9))+2π3\operatorname{atan}{\left(\frac{1 - 2 \cos^{2}{\left(\frac{\pi}{18} \right)}}{\sin{\left(\frac{\pi}{9} \right)}} \right)} - \operatorname{atan}{\left(\frac{\sin{\left(\frac{5 \pi}{18} \right)}}{\sin{\left(\frac{2 \pi}{9} \right)}} \right)} + \operatorname{atan}{\left(\frac{\sqrt{3} \left(- \frac{2 \cos{\left(\frac{\pi}{9} \right)}}{\sin{\left(\frac{\pi}{18} \right)}} - 2 + 4 \cos{\left(\frac{2 \pi}{9} \right)} + \frac{1}{\sin{\left(\frac{\pi}{18} \right)}}\right)}{12} \right)} - i \log{\left(\sqrt{\sin^{2}{\left(\frac{\pi}{9} \right)} + \cos^{2}{\left(\frac{\pi}{9} \right)}} \right)} - i \log{\left(\sqrt{\sin^{2}{\left(\frac{2 \pi}{9} \right)} + \sin^{2}{\left(\frac{5 \pi}{18} \right)}} \right)} - i \log{\left(\sqrt{- 4 \cos^{2}{\left(\frac{\pi}{18} \right)} + \sin^{2}{\left(\frac{\pi}{9} \right)} + 1 + 4 \cos^{4}{\left(\frac{\pi}{18} \right)}} \right)} - i \log{\left(\sqrt{- \frac{\cos{\left(\frac{\pi}{9} \right)}}{16 \sin^{2}{\left(\frac{\pi}{18} \right)}} - \frac{\cos{\left(\frac{\pi}{9} \right)} \cos{\left(\frac{2 \pi}{9} \right)}}{4 \sin{\left(\frac{\pi}{18} \right)}} - \frac{1}{16 \sin{\left(\frac{\pi}{18} \right)}} - \frac{\cos{\left(\frac{2 \pi}{9} \right)}}{4} + \frac{\cos^{2}{\left(\frac{2 \pi}{9} \right)}}{4} + \frac{1}{64 \sin^{2}{\left(\frac{\pi}{18} \right)}} + \frac{\cos{\left(\frac{2 \pi}{9} \right)}}{8 \sin{\left(\frac{\pi}{18} \right)}} + \frac{\cos{\left(\frac{\pi}{9} \right)}}{8 \sin{\left(\frac{\pi}{18} \right)}} + \frac{13}{16} + \frac{\cos^{2}{\left(\frac{\pi}{9} \right)}}{16 \sin^{2}{\left(\frac{\pi}{18} \right)}}} \right)} - i \log{\left(\sqrt{- \frac{\cos{\left(\frac{\pi}{9} \right)}}{16 \sin^{2}{\left(\frac{\pi}{18} \right)}} - \frac{\cos{\left(\frac{\pi}{9} \right)}}{8 \sin{\left(\frac{\pi}{18} \right)}} - \frac{\cos{\left(\frac{2 \pi}{9} \right)}}{8 \sin{\left(\frac{\pi}{18} \right)}} - \frac{\cos{\left(\frac{2 \pi}{9} \right)}}{4} + \frac{1}{16} + \frac{\cos^{2}{\left(\frac{2 \pi}{9} \right)}}{4} + \frac{1}{16 \sin{\left(\frac{\pi}{18} \right)}} + \sin^{2}{\left(\frac{2 \pi}{9} \right)} + \frac{1}{64 \sin^{2}{\left(\frac{\pi}{18} \right)}} + \frac{\cos{\left(\frac{\pi}{9} \right)} \cos{\left(\frac{2 \pi}{9} \right)}}{4 \sin{\left(\frac{\pi}{18} \right)}} + \frac{\cos^{2}{\left(\frac{\pi}{9} \right)}}{16 \sin^{2}{\left(\frac{\pi}{18} \right)}}} \right)} + \operatorname{atan}{\left(\frac{- \frac{1}{8 \sin{\left(\frac{\pi}{18} \right)}} - \frac{1}{4} + \frac{\cos{\left(\frac{2 \pi}{9} \right)}}{2} + \frac{\cos{\left(\frac{\pi}{9} \right)}}{4 \sin{\left(\frac{\pi}{18} \right)}}}{\sin{\left(\frac{2 \pi}{9} \right)}} \right)} + \operatorname{atan}{\left(\frac{\cos{\left(\frac{\pi}{9} \right)}}{\sin{\left(\frac{\pi}{9} \right)}} \right)} + \frac{2 \pi}{3} 
producto
                  /                                                                                                                                                        /      /                                  /pi\\\\                                                                                                                                                                                                       /                                                                                                                                                                     /         /2*pi\                   /pi\ \\
                  |                                                                                                                                                        |      |                             2*cos|--||||                                                                                                                                                                                                       |                                                                                                                                                                     |      cos|----|                cos|--| ||
                  |                                                                                                                                                        |  ___ |        1           /2*pi\        \9 /|||                                                                                                                                                                                                       |                                                                                                                                                                     |  1      \ 9  /       1           \9 / ||
                  |       /        ________________________________________________________________________________________________________________________________\       |\/ 3 *|-2 + ------- + 4*cos|----| - ---------|||                                                                                                                                                                                                       |       /        _____________________________________________________________________________________________________________________________________________\       |- - + --------- - --------- + ---------||
                  |       |       /         /2*pi\                   2/2*pi\                      /pi\         /pi\       /2*pi\        2/pi\       /pi\    /2*pi\ |       |      |        /pi\        \ 9  /       /pi\ ||| /                                             /   /pi\\\ /         /   /5*pi\\                                       \ /                                                            /         2/pi\\\ |       |       /                      /2*pi\      2/2*pi\                                  /pi\       /2*pi\        /pi\          2/pi\       /pi\    /2*pi\ |       |  4       2            /pi\        /pi\||
                  |       |      /       cos|----|                cos |----|                   cos|--|      cos|--|    cos|----|     cos |--|    cos|--|*cos|----| |       |      |     sin|--|                  sin|--| ||| |           /    _____________________\       |cos|--||| |         |sin|----||        /    _________________________\| |       /    ________________________________________\       |1 - 2*cos |--||| |       |      /                    cos|----|   cos |----|                               cos|--|    cos|----|     cos|--|       cos |--|    cos|--|*cos|----| |       |                  8*sin|--|   4*sin|--|||
-5*pi pi pi 17*pi |       |     /   13      \ 9  /       1            \ 9  /        1             \9 /         \9 /       \ 9  /         \9 /       \9 /    \ 9  / |       |      \        \18/                     \18/ /|| |           |   /    2/pi\      2/pi\ |       |   \9 /|| |         |   \ 18 /|        |   /    2/2*pi\      2/5*pi\ || |       |   /        2/pi\        2/pi\        4/pi\ |       |          \18/|| |       |     /   1       2/2*pi\      \ 9  /       \ 9  /       1             1            \9 /       \ 9  /        \9 /           \9 /       \9 /    \ 9  / |       |                       \18/        \18/||
-----*--*--*-----*|- I*log|    /    -- - --------- - ---------- + ---------- + ----------- - ----------- + --------- + --------- + ----------- - ----------------- | + atan|----------------------------------------------||*|-pi - I*log|  /  cos |--| + sin |--| | + atan|-------||*|pi - atan|---------| - I*log|  /  sin |----| + sin |----| ||*|- I*log|  /  1 + sin |--| - 4*cos |--| + 4*cos |--| | + atan|--------------||*|- I*log|    /    -- + sin |----| - --------- + ---------- + ---------- + ----------- - --------- - --------- - ----------- + ----------- + ----------------- | + atan|---------------------------------------||
  6   18 2    18  |       |   /     16       4             /pi\       4              2/pi\         2/pi\        /pi\        /pi\         2/pi\            /pi\     |       \                      12                      /| |           \\/       \9 /       \9 / /       |   /pi\|| |         |   /2*pi\|        \\/       \ 9  /       \ 18 / /| |       \\/           \9 /         \18/         \18/ /       |      /pi\    || |       |   /     16       \ 9  /       4           4              /pi\         2/pi\        /pi\        /pi\         2/pi\         2/pi\            /pi\     |       |                  /2*pi\               ||
                  |       |  /                       16*sin|--|                64*sin |--|   16*sin |--|   8*sin|--|   8*sin|--|   16*sin |--|       4*sin|--|     |                                                       | |                                             |sin|--||| |         |sin|----||                                       | |                                                            |   sin|--|    || |       |  /                                                 16*sin|--|   64*sin |--|   8*sin|--|   8*sin|--|   16*sin |--|   16*sin |--|       4*sin|--|     |       |               sin|----|               ||
                  \       \\/                              \18/                       \18/          \18/        \18/        \18/          \18/            \18/     /                                                       / \                                             \   \9 /// \         \   \ 9  //                                       / \                                                            \      \9 /    // \       \\/                                                        \18/          \18/        \18/        \18/          \18/          \18/            \18/     /       \                  \ 9  /               //
17π18π2⋅−5π6π18(atan⁡(3(−2cos⁡(π9)sin⁡(π18)−2+4cos⁡(2π9)+1sin⁡(π18))12)−ilog⁡(−cos⁡(π9)16sin⁡2(π18)−cos⁡(π9)cos⁡(2π9)4sin⁡(π18)−116sin⁡(π18)−cos⁡(2π9)4+cos⁡2(2π9)4+164sin⁡2(π18)+cos⁡(2π9)8sin⁡(π18)+cos⁡(π9)8sin⁡(π18)+1316+cos⁡2(π9)16sin⁡2(π18)))(−π−ilog⁡(sin⁡2(π9)+cos⁡2(π9))+atan⁡(cos⁡(π9)sin⁡(π9)))(−atan⁡(sin⁡(5π18)sin⁡(2π9))−ilog⁡(sin⁡2(2π9)+sin⁡2(5π18))+π)(atan⁡(1−2cos⁡2(π18)sin⁡(π9))−ilog⁡(−4cos⁡2(π18)+sin⁡2(π9)+1+4cos⁡4(π18)))(−ilog⁡(−cos⁡(π9)16sin⁡2(π18)−cos⁡(π9)8sin⁡(π18)−cos⁡(2π9)8sin⁡(π18)−cos⁡(2π9)4+116+cos⁡2(2π9)4+116sin⁡(π18)+sin⁡2(2π9)+164sin⁡2(π18)+cos⁡(π9)cos⁡(2π9)4sin⁡(π18)+cos⁡2(π9)16sin⁡2(π18))+atan⁡(−18sin⁡(π18)−14+cos⁡(2π9)2+cos⁡(π9)4sin⁡(π18)sin⁡(2π9)))\frac{17 \pi}{18} \frac{\pi}{2} \cdot - \frac{5 \pi}{6} \frac{\pi}{18} \left(\operatorname{atan}{\left(\frac{\sqrt{3} \left(- \frac{2 \cos{\left(\frac{\pi}{9} \right)}}{\sin{\left(\frac{\pi}{18} \right)}} - 2 + 4 \cos{\left(\frac{2 \pi}{9} \right)} + \frac{1}{\sin{\left(\frac{\pi}{18} \right)}}\right)}{12} \right)} - i \log{\left(\sqrt{- \frac{\cos{\left(\frac{\pi}{9} \right)}}{16 \sin^{2}{\left(\frac{\pi}{18} \right)}} - \frac{\cos{\left(\frac{\pi}{9} \right)} \cos{\left(\frac{2 \pi}{9} \right)}}{4 \sin{\left(\frac{\pi}{18} \right)}} - \frac{1}{16 \sin{\left(\frac{\pi}{18} \right)}} - \frac{\cos{\left(\frac{2 \pi}{9} \right)}}{4} + \frac{\cos^{2}{\left(\frac{2 \pi}{9} \right)}}{4} + \frac{1}{64 \sin^{2}{\left(\frac{\pi}{18} \right)}} + \frac{\cos{\left(\frac{2 \pi}{9} \right)}}{8 \sin{\left(\frac{\pi}{18} \right)}} + \frac{\cos{\left(\frac{\pi}{9} \right)}}{8 \sin{\left(\frac{\pi}{18} \right)}} + \frac{13}{16} + \frac{\cos^{2}{\left(\frac{\pi}{9} \right)}}{16 \sin^{2}{\left(\frac{\pi}{18} \right)}}} \right)}\right) \left(- \pi - i \log{\left(\sqrt{\sin^{2}{\left(\frac{\pi}{9} \right)} + \cos^{2}{\left(\frac{\pi}{9} \right)}} \right)} + \operatorname{atan}{\left(\frac{\cos{\left(\frac{\pi}{9} \right)}}{\sin{\left(\frac{\pi}{9} \right)}} \right)}\right) \left(- \operatorname{atan}{\left(\frac{\sin{\left(\frac{5 \pi}{18} \right)}}{\sin{\left(\frac{2 \pi}{9} \right)}} \right)} - i \log{\left(\sqrt{\sin^{2}{\left(\frac{2 \pi}{9} \right)} + \sin^{2}{\left(\frac{5 \pi}{18} \right)}} \right)} + \pi\right) \left(\operatorname{atan}{\left(\frac{1 - 2 \cos^{2}{\left(\frac{\pi}{18} \right)}}{\sin{\left(\frac{\pi}{9} \right)}} \right)} - i \log{\left(\sqrt{- 4 \cos^{2}{\left(\frac{\pi}{18} \right)} + \sin^{2}{\left(\frac{\pi}{9} \right)} + 1 + 4 \cos^{4}{\left(\frac{\pi}{18} \right)}} \right)}\right) \left(- i \log{\left(\sqrt{- \frac{\cos{\left(\frac{\pi}{9} \right)}}{16 \sin^{2}{\left(\frac{\pi}{18} \right)}} - \frac{\cos{\left(\frac{\pi}{9} \right)}}{8 \sin{\left(\frac{\pi}{18} \right)}} - \frac{\cos{\left(\frac{2 \pi}{9} \right)}}{8 \sin{\left(\frac{\pi}{18} \right)}} - \frac{\cos{\left(\frac{2 \pi}{9} \right)}}{4} + \frac{1}{16} + \frac{\cos^{2}{\left(\frac{2 \pi}{9} \right)}}{4} + \frac{1}{16 \sin{\left(\frac{\pi}{18} \right)}} + \sin^{2}{\left(\frac{2 \pi}{9} \right)} + \frac{1}{64 \sin^{2}{\left(\frac{\pi}{18} \right)}} + \frac{\cos{\left(\frac{\pi}{9} \right)} \cos{\left(\frac{2 \pi}{9} \right)}}{4 \sin{\left(\frac{\pi}{18} \right)}} + \frac{\cos^{2}{\left(\frac{\pi}{9} \right)}}{16 \sin^{2}{\left(\frac{\pi}{18} \right)}}} \right)} + \operatorname{atan}{\left(\frac{- \frac{1}{8 \sin{\left(\frac{\pi}{18} \right)}} - \frac{1}{4} + \frac{\cos{\left(\frac{2 \pi}{9} \right)}}{2} + \frac{\cos{\left(\frac{\pi}{9} \right)}}{4 \sin{\left(\frac{\pi}{18} \right)}}}{\sin{\left(\frac{2 \pi}{9} \right)}} \right)}\right) 
=
                                                                        /     /    _______________________________________________________________________________________________\                                                \ /     /    _______________________________________________________________________________________________\                                          \
                                                                        |     |   /          /pi\        2/pi\         2/pi\    /pi\        2/pi\ /          2/pi\         4/pi\\ |       /  ___ /     /2*pi\      /pi\      /pi\\\| |     |   /          /pi\        2/pi\        2/pi\ /          4/pi\         2/pi\\         2/pi\    /pi\ |       /       /pi\      /2*pi\      /pi\\|
           /            /    ________________________________________\\ |     |  /  1 - 4*cos|--| + 4*cos |--| - 16*sin |--|*sin|--| + 4*sin |--|*|13 - 8*sin |--| + 16*sin |--|| |       |\/ 3 *|- cos|----| + cos|--| + sin|--|||| |     |  /  1 - 4*cos|--| + 4*cos |--| + 4*sin |--|*|1 - 48*sin |--| + 56*sin |--|| + 16*sin |--|*sin|--| |       |1 - cos|--| - cos|----| + sin|--|||
         6 |7*pi        |   /        2/pi\        2/pi\        4/pi\ || |     |\/            \9 /         \9 /          \9 /    \18/         \18/ \           \9 /          \9 // |       |      \     \ 9  /      \9 /      \18//|| |     |\/            \9 /         \9 /         \18/ \           \9 /          \9 //          \9 /    \18/ |       |       \9 /      \ 9  /      \18/||
-12155*pi *|---- + I*log|  /  1 + sin |--| - 4*sin |--| + 4*sin |--| ||*|I*log|---------------------------------------------------------------------------------------------------| + atan|---------------------------------------||*|I*log|---------------------------------------------------------------------------------------------------| + atan|---------------------------------||
           \ 18         \\/           \9 /         \18/         \18/ // |     |                                                  /pi\                                             |       |                    /pi\               || |     |                                                  /pi\                                             |       |         ___        /5*pi\       ||
                                                                        |     |                                             8*sin|--|                                             |       |               6*sin|--|               || |     |                                             8*sin|--|                                             |       |       \/ 3  - 2*cos|----|       ||
                                                                        \     \                                                  \18/                                             /       \                    \18/               // \     \                                                  \18/                                             /       \                    \ 18 /       //
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                                                                                          1259712
−12155π6(ilog⁡(−4cos⁡(π9)−16sin⁡(π18)sin⁡2(π9)+1+4(−8sin⁡2(π9)+16sin⁡4(π9)+13)sin⁡2(π18)+4cos⁡2(π9)8sin⁡(π18))+atan⁡(3(−cos⁡(2π9)+sin⁡(π18)+cos⁡(π9))6sin⁡(π18)))(ilog⁡(−4sin⁡2(π18)+4sin⁡4(π18)+sin⁡2(π9)+1)+7π18)(atan⁡(−cos⁡(π9)−cos⁡(2π9)+sin⁡(π18)+1−2cos⁡(5π18)+3)+ilog⁡(−4cos⁡(π9)+16sin⁡(π18)sin⁡2(π9)+4(−48sin⁡4(π9)+1+56sin⁡2(π9))sin⁡2(π18)+1+4cos⁡2(π9)8sin⁡(π18)))1259712- \frac{12155 \pi^{6} \left(i \log{\left(\frac{\sqrt{- 4 \cos{\left(\frac{\pi}{9} \right)} - 16 \sin{\left(\frac{\pi}{18} \right)} \sin^{2}{\left(\frac{\pi}{9} \right)} + 1 + 4 \left(- 8 \sin^{2}{\left(\frac{\pi}{9} \right)} + 16 \sin^{4}{\left(\frac{\pi}{9} \right)} + 13\right) \sin^{2}{\left(\frac{\pi}{18} \right)} + 4 \cos^{2}{\left(\frac{\pi}{9} \right)}}}{8 \sin{\left(\frac{\pi}{18} \right)}} \right)} + \operatorname{atan}{\left(\frac{\sqrt{3} \left(- \cos{\left(\frac{2 \pi}{9} \right)} + \sin{\left(\frac{\pi}{18} \right)} + \cos{\left(\frac{\pi}{9} \right)}\right)}{6 \sin{\left(\frac{\pi}{18} \right)}} \right)}\right) \left(i \log{\left(\sqrt{- 4 \sin^{2}{\left(\frac{\pi}{18} \right)} + 4 \sin^{4}{\left(\frac{\pi}{18} \right)} + \sin^{2}{\left(\frac{\pi}{9} \right)} + 1} \right)} + \frac{7 \pi}{18}\right) \left(\operatorname{atan}{\left(\frac{- \cos{\left(\frac{\pi}{9} \right)} - \cos{\left(\frac{2 \pi}{9} \right)} + \sin{\left(\frac{\pi}{18} \right)} + 1}{- 2 \cos{\left(\frac{5 \pi}{18} \right)} + \sqrt{3}} \right)} + i \log{\left(\frac{\sqrt{- 4 \cos{\left(\frac{\pi}{9} \right)} + 16 \sin{\left(\frac{\pi}{18} \right)} \sin^{2}{\left(\frac{\pi}{9} \right)} + 4 \left(- 48 \sin^{4}{\left(\frac{\pi}{9} \right)} + 1 + 56 \sin^{2}{\left(\frac{\pi}{9} \right)}\right) \sin^{2}{\left(\frac{\pi}{18} \right)} + 1 + 4 \cos^{2}{\left(\frac{\pi}{9} \right)}}}{8 \sin{\left(\frac{\pi}{18} \right)}} \right)}\right)}{1259712} 
-12155*pi^6*(7*pi/18 + i*log(sqrt(1 + sin(pi/9)^2 - 4*sin(pi/18)^2 + 4*sin(pi/18)^4)))*(i*log(sqrt(1 - 4*cos(pi/9) + 4*cos(pi/9)^2 - 16*sin(pi/9)^2*sin(pi/18) + 4*sin(pi/18)^2*(13 - 8*sin(pi/9)^2 + 16*sin(pi/9)^4))/(8*sin(pi/18))) + atan(sqrt(3)*(-cos(2*pi/9) + cos(pi/9) + sin(pi/18))/(6*sin(pi/18))))*(i*log(sqrt(1 - 4*cos(pi/9) + 4*cos(pi/9)^2 + 4*sin(pi/18)^2*(1 - 48*sin(pi/9)^4 + 56*sin(pi/9)^2) + 16*sin(pi/9)^2*sin(pi/18))/(8*sin(pi/18))) + atan((1 - cos(pi/9) - cos(2*pi/9) + sin(pi/18))/(sqrt(3) - 2*cos(5*pi/18))))/1259712
Respuesta numérica [src] 
x1 = 9.94837673636768
x2 = 78.3652834145454
x3 = -13.7881010907552
x4 = 83.9503370209273
x5 = -31.9395253114962
x6 = -25.6563400043166
x7 = -85.6956662729216
x8 = -45.9021593274509
x9 = 76.2708883121522
x10 = -36.1283154485727
x11 = -23.5619449540223
x12 = -43.8077642250577
x13 = 81.1578102177363
x14 = -36.12831520092
x15 = -20.0712863979348
x16 = -83.6012711705284
x17 = 28.0998009571087
x18 = 34.3829862642883
x19 = 39.9680398706701
x20 = -61.9591884457987
x21 = 30.1941960595019
x22 = -29.8451301093948
x23 = -11.693705988362
x24 = -27.7507351067098
x25 = 18.3259571459405
x26 = -87.7900613753148
x27 = 44.1568300754565
x28 = 16.2315620435473
x29 = 74.176493209759
x30 = 4.36332312998582
x31 = -15.8824961931484
x32 = 61.6101225953998
x33 = 86.0447321233204
x34 = -41.7133691226645
x35 = 95.8185759914842
x36 = 42.0624349730633
x37 = -4.01425727958696
x38 = 46.2512251778497
x39 = -47.9965544298441
x40 = 21.8166156499291
x41 = 62.3082542961976
x42 = -6.10865238198015
x43 = 1075.29735215371
x44 = -91.9788515801012
x45 = -53.5816080362259
x46 = -73.8274272827467
x47 = -73.1292956585624
x48 = -64.7517152489896
x49 = 37.873644768277
x50 = -9.59931088596881
x51 = 64.4026493358639
x52 = 53.9306738866248
x53 = -64.0535835481919
x54 = -1.91986217719376
x55 = -104.54522219446
x56 = -69.6386371545737
x57 = 26.0054058547155
x58 = -59.8647933434055
x59 = -75.9218224617533
x60 = 20.4203521882517
x61 = 60.2138591938044
x62 = -94.0732466824944
x63 = -99.6583002888762
x64 = 51.1381470834339
x65 = 0.174532925199433
x66 = 88.1391272257137
x67 = 23.2128790515246
x68 = -50.0909495322373
x69 = 72.0820981073658
x70 = 51.8362788484534
x71 = -78.0162175641465
x72 = 7.8539817013759
x73 = -55.6760031386191
x74 = -39.6189740202713
x75 = -34.0339204138894
x76 = 92.3279174305
x77 = -96.1676417848876
x78 = 97.9129710368819
x79 = -67.5442420868592
x80 = 94.4223125328932
x81 = -71.733032256967
x82 = -17.9768912955416
x83 = -89.884456477708
x84 = -66.1479786505851
x85 = 67.8933079025794
x86 = -22.165681500328
x87 = 7.85398191123749
x88 = 83.2522052880855
x89 = 69.9877030049726
x90 = 2.26892802759263
x91 = 23.9110107523223
x92 = -80.1106126008672
x93 = 90.2335223281068
x94 = 32.2885911618951
x95 = 12.0427718387609
x96 = 100.007366139275
x97 = 65.1007810993885
x98 = 56.025068989018
x99 = -57.7703982410123
x100 = 48.3456202802429
x100 = 48.3456202802429
    © Sr Examen – Калькулятор