El profesor se sorprenderá mucho al ver tu solución correcta😉
___ 3 ___ -\/ 3 sin (x) + sin(x) + \/ 2 = ------- 2
/ / ____________________________________________________________ \\ / / ____________________________________________________________ \\ | | / ______________________________ || | | / ______________________________ || | | / / 2 || | | / / 2 || | | / / / ___\ || | | / / / ___\ || | | / / | ___ 27*\/ 3 | || | | / / | ___ 27*\/ 3 | || | | / / 108 + |27*\/ 2 + --------| ___ ___ / ___\|| | | / / 108 + |27*\/ 2 + --------| ___ ___ / ___\|| | | / \/ \ 2 / 27*\/ 2 27*\/ 3 | 1 I*\/ 3 ||| | | / \/ \ 2 / 27*\/ 2 27*\/ 3 | 1 I*\/ 3 ||| | | 3 / ------------------------------------ + -------- + -------- *|- - - -------||| | | 3 / ------------------------------------ + -------- + -------- *|- - - -------||| | | 1 \/ 2 2 4 \ 2 2 /|| | | 1 \/ 2 2 4 \ 2 2 /|| x1 = pi - re|asin|------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------|| - I*im|asin|------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------|| | | ____________________________________________________________ 3 || | | ____________________________________________________________ 3 || | | / ______________________________ || | | / ______________________________ || | | / / 2 || | | / / 2 || | | / / / ___\ || | | / / / ___\ || | | / / | ___ 27*\/ 3 | || | | / / | ___ 27*\/ 3 | || | |/ ___\ / / 108 + |27*\/ 2 + --------| ___ ___ || | |/ ___\ / / 108 + |27*\/ 2 + --------| ___ ___ || | || 1 I*\/ 3 | / \/ \ 2 / 27*\/ 2 27*\/ 3 || | || 1 I*\/ 3 | / \/ \ 2 / 27*\/ 2 27*\/ 3 || | ||- - - -------|*3 / ------------------------------------ + -------- + -------- || | ||- - - -------|*3 / ------------------------------------ + -------- + -------- || \ \\ 2 2 / \/ 2 2 4 // \ \\ 2 2 / \/ 2 2 4 //
/ / ____________________________________________________________ \\ / / ____________________________________________________________ \\ | | / ______________________________ || | | / ______________________________ || | | / / 2 || | | / / 2 || | | / / / ___\ || | | / / / ___\ || | | / / | ___ 27*\/ 3 | || | | / / | ___ 27*\/ 3 | || | | / / 108 + |27*\/ 2 + --------| ___ ___ / ___\|| | | / / 108 + |27*\/ 2 + --------| ___ ___ / ___\|| | | / \/ \ 2 / 27*\/ 2 27*\/ 3 | 1 I*\/ 3 ||| | | / \/ \ 2 / 27*\/ 2 27*\/ 3 | 1 I*\/ 3 ||| | | 3 / ------------------------------------ + -------- + -------- *|- - + -------||| | | 3 / ------------------------------------ + -------- + -------- *|- - + -------||| | | 1 \/ 2 2 4 \ 2 2 /|| | | 1 \/ 2 2 4 \ 2 2 /|| x2 = pi - re|asin|------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------|| - I*im|asin|------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------|| | | ____________________________________________________________ 3 || | | ____________________________________________________________ 3 || | | / ______________________________ || | | / ______________________________ || | | / / 2 || | | / / 2 || | | / / / ___\ || | | / / / ___\ || | | / / | ___ 27*\/ 3 | || | | / / | ___ 27*\/ 3 | || | |/ ___\ / / 108 + |27*\/ 2 + --------| ___ ___ || | |/ ___\ / / 108 + |27*\/ 2 + --------| ___ ___ || | || 1 I*\/ 3 | / \/ \ 2 / 27*\/ 2 27*\/ 3 || | || 1 I*\/ 3 | / \/ \ 2 / 27*\/ 2 27*\/ 3 || | ||- - + -------|*3 / ------------------------------------ + -------- + -------- || | ||- - + -------|*3 / ------------------------------------ + -------- + -------- || \ \\ 2 2 / \/ 2 2 4 // \ \\ 2 2 / \/ 2 2 4 //
/ / ____________________________________________________________ \\ / / ____________________________________________________________ \\ | | / ______________________________ || | | / ______________________________ || | | / / 2 || | | / / 2 || | | / / / ___\ || | | / / / ___\ || | | / / | ___ 27*\/ 3 | || | | / / | ___ 27*\/ 3 | || | | / / 108 + |27*\/ 2 + --------| ___ ___ / ___\|| | | / / 108 + |27*\/ 2 + --------| ___ ___ / ___\|| | | / \/ \ 2 / 27*\/ 2 27*\/ 3 | 1 I*\/ 3 ||| | | / \/ \ 2 / 27*\/ 2 27*\/ 3 | 1 I*\/ 3 ||| | | 3 / ------------------------------------ + -------- + -------- *|- - - -------||| | | 3 / ------------------------------------ + -------- + -------- *|- - - -------||| | | 1 \/ 2 2 4 \ 2 2 /|| | | 1 \/ 2 2 4 \ 2 2 /|| x3 = I*im|asin|------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------|| + re|asin|------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------|| | | ____________________________________________________________ 3 || | | ____________________________________________________________ 3 || | | / ______________________________ || | | / ______________________________ || | | / / 2 || | | / / 2 || | | / / / ___\ || | | / / / ___\ || | | / / | ___ 27*\/ 3 | || | | / / | ___ 27*\/ 3 | || | |/ ___\ / / 108 + |27*\/ 2 + --------| ___ ___ || | |/ ___\ / / 108 + |27*\/ 2 + --------| ___ ___ || | || 1 I*\/ 3 | / \/ \ 2 / 27*\/ 2 27*\/ 3 || | || 1 I*\/ 3 | / \/ \ 2 / 27*\/ 2 27*\/ 3 || | ||- - - -------|*3 / ------------------------------------ + -------- + -------- || | ||- - - -------|*3 / ------------------------------------ + -------- + -------- || \ \\ 2 2 / \/ 2 2 4 // \ \\ 2 2 / \/ 2 2 4 //
/ / ____________________________________________________________ \\ / / ____________________________________________________________ \\ | | / ______________________________ || | | / ______________________________ || | | / / 2 || | | / / 2 || | | / / / ___\ || | | / / / ___\ || | | / / | ___ 27*\/ 3 | || | | / / | ___ 27*\/ 3 | || | | / / 108 + |27*\/ 2 + --------| ___ ___ / ___\|| | | / / 108 + |27*\/ 2 + --------| ___ ___ / ___\|| | | / \/ \ 2 / 27*\/ 2 27*\/ 3 | 1 I*\/ 3 ||| | | / \/ \ 2 / 27*\/ 2 27*\/ 3 | 1 I*\/ 3 ||| | | 3 / ------------------------------------ + -------- + -------- *|- - + -------||| | | 3 / ------------------------------------ + -------- + -------- *|- - + -------||| | | 1 \/ 2 2 4 \ 2 2 /|| | | 1 \/ 2 2 4 \ 2 2 /|| x4 = I*im|asin|------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------|| + re|asin|------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------|| | | ____________________________________________________________ 3 || | | ____________________________________________________________ 3 || | | / ______________________________ || | | / ______________________________ || | | / / 2 || | | / / 2 || | | / / / ___\ || | | / / / ___\ || | | / / | ___ 27*\/ 3 | || | | / / | ___ 27*\/ 3 | || | |/ ___\ / / 108 + |27*\/ 2 + --------| ___ ___ || | |/ ___\ / / 108 + |27*\/ 2 + --------| ___ ___ || | || 1 I*\/ 3 | / \/ \ 2 / 27*\/ 2 27*\/ 3 || | || 1 I*\/ 3 | / \/ \ 2 / 27*\/ 2 27*\/ 3 || | ||- - + -------|*3 / ------------------------------------ + -------- + -------- || | ||- - + -------|*3 / ------------------------------------ + -------- + -------- || \ \\ 2 2 / \/ 2 2 4 // \ \\ 2 2 / \/ 2 2 4 //
/ / ____________________________________________________________\\ / / ____________________________________________________________\\ | | / ______________________________ || | | / ______________________________ || | | / / 2 || | | / / 2 || | | / / / ___\ || | | / / / ___\ || | | / / | ___ 27*\/ 3 | || | | / / | ___ 27*\/ 3 | || | | / / 108 + |27*\/ 2 + --------| ___ ___ || | | / / 108 + |27*\/ 2 + --------| ___ ___ || | | / \/ \ 2 / 27*\/ 2 27*\/ 3 || | | / \/ \ 2 / 27*\/ 2 27*\/ 3 || | | 3 / ------------------------------------ + -------- + -------- || | | 3 / ------------------------------------ + -------- + -------- || | | 1 \/ 2 2 4 || | | 1 \/ 2 2 4 || x5 = pi - re|asin|--------------------------------------------------------------------- - ---------------------------------------------------------------------|| - I*im|asin|--------------------------------------------------------------------- - ---------------------------------------------------------------------|| | | ____________________________________________________________ 3 || | | ____________________________________________________________ 3 || | | / ______________________________ || | | / ______________________________ || | | / / 2 || | | / / 2 || | | / / / ___\ || | | / / / ___\ || | | / / | ___ 27*\/ 3 | || | | / / | ___ 27*\/ 3 | || | | / / 108 + |27*\/ 2 + --------| ___ ___ || | | / / 108 + |27*\/ 2 + --------| ___ ___ || | | / \/ \ 2 / 27*\/ 2 27*\/ 3 || | | / \/ \ 2 / 27*\/ 2 27*\/ 3 || | |3 / ------------------------------------ + -------- + -------- || | |3 / ------------------------------------ + -------- + -------- || \ \\/ 2 2 4 // \ \\/ 2 2 4 //
/ / ____________________________________________________________\\ / / ____________________________________________________________\\ | | / ______________________________ || | | / ______________________________ || | | / / 2 || | | / / 2 || | | / / / ___\ || | | / / / ___\ || | | / / | ___ 27*\/ 3 | || | | / / | ___ 27*\/ 3 | || | | / / 108 + |27*\/ 2 + --------| ___ ___ || | | / / 108 + |27*\/ 2 + --------| ___ ___ || | | / \/ \ 2 / 27*\/ 2 27*\/ 3 || | | / \/ \ 2 / 27*\/ 2 27*\/ 3 || | | 3 / ------------------------------------ + -------- + -------- || | | 3 / ------------------------------------ + -------- + -------- || | | 1 \/ 2 2 4 || | | 1 \/ 2 2 4 || x6 = I*im|asin|--------------------------------------------------------------------- - ---------------------------------------------------------------------|| + re|asin|--------------------------------------------------------------------- - ---------------------------------------------------------------------|| | | ____________________________________________________________ 3 || | | ____________________________________________________________ 3 || | | / ______________________________ || | | / ______________________________ || | | / / 2 || | | / / 2 || | | / / / ___\ || | | / / / ___\ || | | / / | ___ 27*\/ 3 | || | | / / | ___ 27*\/ 3 | || | | / / 108 + |27*\/ 2 + --------| ___ ___ || | | / / 108 + |27*\/ 2 + --------| ___ ___ || | | / \/ \ 2 / 27*\/ 2 27*\/ 3 || | | / \/ \ 2 / 27*\/ 2 27*\/ 3 || | |3 / ------------------------------------ + -------- + -------- || | |3 / ------------------------------------ + -------- + -------- || \ \\/ 2 2 4 // \ \\/ 2 2 4 //
x6 = re(asin(-(27*sqrt(3)/4 + 27*sqrt(2)/2 + sqrt(108 + (27*sqrt(3)/2 + 27*sqrt(2))^2)/2)^(1/3)/3 + (27*sqrt(3)/4 + 27*sqrt(2)/2 + sqrt(108 + (27*sqrt(3)/2 + 27*sqrt(2))^2)/2)^(-1/3))) + i*im(asin(-(27*sqrt(3)/4 + 27*sqrt(2)/2 + sqrt(108 + (27*sqrt(3)/2 + 27*sqrt(2))^2)/2)^(1/3)/3 + (27*sqrt(3)/4 + 27*sqrt(2)/2 + sqrt(108 + (27*sqrt(3)/2 + 27*sqrt(2))^2)/2)^(-1/3)))
x1 = 2.83095385521158 - 1.15517967752692*i
x2 = 2.83095385521158 + 1.15517967752692*i
x3 = 4.71238898038469 - 0.363114609498322*i
x4 = 0.310638798378211 + 1.15517967752692*i
x5 = 0.310638798378211 - 1.15517967752692*i
x6 = -1.5707963267949 + 0.363114609498322*i
x6 = -1.5707963267949 + 0.363114609498322*i