El profesor se sorprenderá mucho al ver tu solución correcta😉
2 / 2 \ 8*cos (x)*\2*cos (x) - 1/ = 9
/ ______________\ | / ____ | pi | / 1 \/ 10 | x1 = -- - I*asinh| / - - + ------ | 2 \\/ 4 4 /
/ ______________\ | / ____ | pi | / 1 \/ 10 | x2 = -- + I*asinh| / - - + ------ | 2 \\/ 4 4 /
/ ______________\ | / ____ | 3*pi | / 1 \/ 10 | x3 = ---- - I*asinh| / - - + ------ | 2 \\/ 4 4 /
/ ______________\ | / ____ | 3*pi | / 1 \/ 10 | x4 = ---- + I*asinh| / - - + ------ | 2 \\/ 4 4 /
/ / ____________\\ / / ____________\\ | | / ____ || | | / ____ || | | / 1 \/ 10 || | | / 1 \/ 10 || x5 = - re|acos|- / - + ------ || + 2*pi - I*im|acos|- / - + ------ || \ \ \/ 4 4 // \ \ \/ 4 4 //
/ / ____________\\ | | / ____ || | | / 1 \/ 10 || x6 = 2*pi - I*im|acos| / - + ------ || \ \\/ 4 4 //
/ / ____________\\ / / ____________\\ | | / ____ || | | / ____ || | | / 1 \/ 10 || | | / 1 \/ 10 || x7 = I*im|acos|- / - + ------ || + re|acos|- / - + ------ || \ \ \/ 4 4 // \ \ \/ 4 4 //
/ / ____________\\ / / ____________\\ | | / ____ || | | / ____ || | | / 1 \/ 10 || | | / 1 \/ 10 || x8 = I*im|acos| / - + ------ || + re|acos| / - + ------ || \ \\/ 4 4 // \ \\/ 4 4 //
x8 = re(acos(sqrt(1/4 + sqrt(10)/4))) + i*im(acos(sqrt(1/4 + sqrt(10)/4)))
suma
/ ______________\ / ______________\ / ______________\ / ______________\ / / ____________\\ / / ____________\\ / / ____________\\ / / ____________\\ / / ____________\\ / / ____________\\ / / ____________\\ | / ____ | | / ____ | | / ____ | | / ____ | | | / ____ || | | / ____ || | | / ____ || | | / ____ || | | / ____ || | | / ____ || | | / ____ || pi | / 1 \/ 10 | pi | / 1 \/ 10 | 3*pi | / 1 \/ 10 | 3*pi | / 1 \/ 10 | | | / 1 \/ 10 || | | / 1 \/ 10 || | | / 1 \/ 10 || | | / 1 \/ 10 || | | / 1 \/ 10 || | | / 1 \/ 10 || | | / 1 \/ 10 || -- - I*asinh| / - - + ------ | + -- + I*asinh| / - - + ------ | + ---- - I*asinh| / - - + ------ | + ---- + I*asinh| / - - + ------ | + - re|acos|- / - + ------ || + 2*pi - I*im|acos|- / - + ------ || + 2*pi - I*im|acos| / - + ------ || + I*im|acos|- / - + ------ || + re|acos|- / - + ------ || + I*im|acos| / - + ------ || + re|acos| / - + ------ || 2 \\/ 4 4 / 2 \\/ 4 4 / 2 \\/ 4 4 / 2 \\/ 4 4 / \ \ \/ 4 4 // \ \ \/ 4 4 // \ \\/ 4 4 // \ \ \/ 4 4 // \ \ \/ 4 4 // \ \\/ 4 4 // \ \\/ 4 4 //
=
/ / ____________\\ | | / ____ || | | / 1 \/ 10 || 8*pi + re|acos| / - + ------ || \ \\/ 4 4 //
producto
/ / ______________\\ / / ______________\\ / / ______________\\ / / ______________\\ / / / ____________\\ / / ____________\\\ / / / ____________\\\ / / / ____________\\ / / ____________\\\ / / / ____________\\ / / ____________\\\ | | / ____ || | | / ____ || | | / ____ || | | / ____ || | | | / ____ || | | / ____ ||| | | | / ____ ||| | | | / ____ || | | / ____ ||| | | | / ____ || | | / ____ ||| |pi | / 1 \/ 10 || |pi | / 1 \/ 10 || |3*pi | / 1 \/ 10 || |3*pi | / 1 \/ 10 || | | | / 1 \/ 10 || | | / 1 \/ 10 ||| | | | / 1 \/ 10 ||| | | | / 1 \/ 10 || | | / 1 \/ 10 ||| | | | / 1 \/ 10 || | | / 1 \/ 10 ||| |-- - I*asinh| / - - + ------ ||*|-- + I*asinh| / - - + ------ ||*|---- - I*asinh| / - - + ------ ||*|---- + I*asinh| / - - + ------ ||*|- re|acos|- / - + ------ || + 2*pi - I*im|acos|- / - + ------ |||*|2*pi - I*im|acos| / - + ------ |||*|I*im|acos|- / - + ------ || + re|acos|- / - + ------ |||*|I*im|acos| / - + ------ || + re|acos| / - + ------ ||| \2 \\/ 4 4 // \2 \\/ 4 4 // \ 2 \\/ 4 4 // \ 2 \\/ 4 4 // \ \ \ \/ 4 4 // \ \ \/ 4 4 /// \ \ \\/ 4 4 /// \ \ \ \/ 4 4 // \ \ \/ 4 4 /// \ \ \\/ 4 4 // \ \\/ 4 4 ///
=
/ / _____________\\ / / _____________\\ / / / ____________\\\ / / _____________\\ / / _____________\\ / / / ____________\\ / / ____________\\\ / / / ____________ \\ / / ____________ \\\ / / / ____________ \\ / / ____________ \\\ | | / ____ || | | / ____ || | | | / ____ ||| | | / ____ || | | / ____ || | | | / ____ || | | / ____ ||| | | | / ____ || | | / ____ ||| | | | / ____ || | | / ____ ||| | |\/ -1 + \/ 10 || | |\/ -1 + \/ 10 || | | |\/ 1 + \/ 10 ||| | |\/ -1 + \/ 10 || | |\/ -1 + \/ 10 || | | |\/ 1 + \/ 10 || | |\/ 1 + \/ 10 ||| | | |-\/ 1 + \/ 10 || | |-\/ 1 + \/ 10 ||| | | |-\/ 1 + \/ 10 || | |-\/ 1 + \/ 10 ||| -|pi - 2*I*asinh|----------------||*|pi + 2*I*asinh|----------------||*|2*pi - I*im|acos|---------------|||*|3*pi - 2*I*asinh|----------------||*|3*pi + 2*I*asinh|----------------||*|I*im|acos|---------------|| + re|acos|---------------|||*|I*im|acos|-----------------|| + re|acos|-----------------|||*|-2*pi + I*im|acos|-----------------|| + re|acos|-----------------||| \ \ 2 // \ \ 2 // \ \ \ 2 /// \ \ 2 // \ \ 2 // \ \ \ 2 // \ \ 2 /// \ \ \ 2 // \ \ 2 /// \ \ \ 2 // \ \ 2 /// ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ 16
-(pi - 2*i*asinh(sqrt(-1 + sqrt(10))/2))*(pi + 2*i*asinh(sqrt(-1 + sqrt(10))/2))*(2*pi - i*im(acos(sqrt(1 + sqrt(10))/2)))*(3*pi - 2*i*asinh(sqrt(-1 + sqrt(10))/2))*(3*pi + 2*i*asinh(sqrt(-1 + sqrt(10))/2))*(i*im(acos(sqrt(1 + sqrt(10))/2)) + re(acos(sqrt(1 + sqrt(10))/2)))*(i*im(acos(-sqrt(1 + sqrt(10))/2)) + re(acos(-sqrt(1 + sqrt(10))/2)))*(-2*pi + i*im(acos(-sqrt(1 + sqrt(10))/2)) + re(acos(-sqrt(1 + sqrt(10))/2)))/16
x1 = 1.5707963267949 - 0.681292706039573*i
x2 = 1.5707963267949 + 0.681292706039573*i
x3 = 4.71238898038469 - 0.681292706039573*i
x4 = 4.71238898038469 + 0.681292706039573*i
x5 = 3.14159265358979 + 0.20008088097997*i
x6 = 6.28318530717959 - 0.20008088097997*i
x7 = 3.14159265358979 - 0.20008088097997*i
x8 = 0.20008088097997*i
x8 = 0.20008088097997*i