El profesor se sorprenderá mucho al ver tu solución correcta😉
(cos(x) - sin(x))*(1 - 2*sin(x)*cos(x)) + 1 = 0
pi x1 = -- 2
/ / _______________\\ / / _______________\\ | | ___ ___ / ___ || | | ___ ___ / ___ || | | 1 I*\/ 3 \/ 6 *\/ 1 - 3*I*\/ 3 || | | 1 I*\/ 3 \/ 6 *\/ 1 - 3*I*\/ 3 || x2 = 2*re|atan|- - + ------- + ------------------------|| + 2*I*im|atan|- - + ------- + ------------------------|| \ \ 2 6 6 // \ \ 2 6 6 //
/ / _______________\\ / / _______________\\ | | ___ ___ / ___ || | | ___ ___ / ___ || | |1 I*\/ 3 \/ 6 *\/ 1 + 3*I*\/ 3 || | |1 I*\/ 3 \/ 6 *\/ 1 + 3*I*\/ 3 || x3 = - 2*re|atan|- + ------- + ------------------------|| - 2*I*im|atan|- + ------- + ------------------------|| \ \2 6 6 // \ \2 6 6 //
/ / _______________\\ / / _______________\\ | | ___ ___ / ___ || | | ___ ___ / ___ || | |1 I*\/ 3 \/ 6 *\/ 1 - 3*I*\/ 3 || | |1 I*\/ 3 \/ 6 *\/ 1 - 3*I*\/ 3 || x4 = - 2*re|atan|- - ------- + ------------------------|| - 2*I*im|atan|- - ------- + ------------------------|| \ \2 6 6 // \ \2 6 6 //
/ / _______________ \\ / / _______________ \\ | | ___ / ___ ___|| | | ___ / ___ ___|| | |1 \/ 6 *\/ 1 + 3*I*\/ 3 I*\/ 3 || | |1 \/ 6 *\/ 1 + 3*I*\/ 3 I*\/ 3 || x5 = - 2*re|atan|- - ------------------------ + -------|| - 2*I*im|atan|- - ------------------------ + -------|| \ \2 6 6 // \ \2 6 6 //
x5 = -2*re(atan(1/2 - sqrt(6)*sqrt(1 + 3*sqrt(3)*i)/6 + sqrt(3)*i/6)) - 2*i*im(atan(1/2 - sqrt(6)*sqrt(1 + 3*sqrt(3)*i)/6 + sqrt(3)*i/6))
suma
/ / _______________\\ / / _______________\\ / / _______________\\ / / _______________\\ / / _______________\\ / / _______________\\ / / _______________ \\ / / _______________ \\ | | ___ ___ / ___ || | | ___ ___ / ___ || | | ___ ___ / ___ || | | ___ ___ / ___ || | | ___ ___ / ___ || | | ___ ___ / ___ || | | ___ / ___ ___|| | | ___ / ___ ___|| pi | | 1 I*\/ 3 \/ 6 *\/ 1 - 3*I*\/ 3 || | | 1 I*\/ 3 \/ 6 *\/ 1 - 3*I*\/ 3 || | |1 I*\/ 3 \/ 6 *\/ 1 + 3*I*\/ 3 || | |1 I*\/ 3 \/ 6 *\/ 1 + 3*I*\/ 3 || | |1 I*\/ 3 \/ 6 *\/ 1 - 3*I*\/ 3 || | |1 I*\/ 3 \/ 6 *\/ 1 - 3*I*\/ 3 || | |1 \/ 6 *\/ 1 + 3*I*\/ 3 I*\/ 3 || | |1 \/ 6 *\/ 1 + 3*I*\/ 3 I*\/ 3 || -- + 2*re|atan|- - + ------- + ------------------------|| + 2*I*im|atan|- - + ------- + ------------------------|| + - 2*re|atan|- + ------- + ------------------------|| - 2*I*im|atan|- + ------- + ------------------------|| + - 2*re|atan|- - ------- + ------------------------|| - 2*I*im|atan|- - ------- + ------------------------|| + - 2*re|atan|- - ------------------------ + -------|| - 2*I*im|atan|- - ------------------------ + -------|| 2 \ \ 2 6 6 // \ \ 2 6 6 // \ \2 6 6 // \ \2 6 6 // \ \2 6 6 // \ \2 6 6 // \ \2 6 6 // \ \2 6 6 //
=
/ / _______________\\ / / _______________ \\ / / _______________\\ / / _______________\\ / / _______________\\ / / _______________ \\ / / _______________\\ / / _______________\\ | | ___ ___ / ___ || | | ___ / ___ ___|| | | ___ ___ / ___ || | | ___ ___ / ___ || | | ___ ___ / ___ || | | ___ / ___ ___|| | | ___ ___ / ___ || | | ___ ___ / ___ || pi | |1 I*\/ 3 \/ 6 *\/ 1 - 3*I*\/ 3 || | |1 \/ 6 *\/ 1 + 3*I*\/ 3 I*\/ 3 || | |1 I*\/ 3 \/ 6 *\/ 1 + 3*I*\/ 3 || | | 1 I*\/ 3 \/ 6 *\/ 1 - 3*I*\/ 3 || | |1 I*\/ 3 \/ 6 *\/ 1 - 3*I*\/ 3 || | |1 \/ 6 *\/ 1 + 3*I*\/ 3 I*\/ 3 || | |1 I*\/ 3 \/ 6 *\/ 1 + 3*I*\/ 3 || | | 1 I*\/ 3 \/ 6 *\/ 1 - 3*I*\/ 3 || -- - 2*re|atan|- - ------- + ------------------------|| - 2*re|atan|- - ------------------------ + -------|| - 2*re|atan|- + ------- + ------------------------|| + 2*re|atan|- - + ------- + ------------------------|| - 2*I*im|atan|- - ------- + ------------------------|| - 2*I*im|atan|- - ------------------------ + -------|| - 2*I*im|atan|- + ------- + ------------------------|| + 2*I*im|atan|- - + ------- + ------------------------|| 2 \ \2 6 6 // \ \2 6 6 // \ \2 6 6 // \ \ 2 6 6 // \ \2 6 6 // \ \2 6 6 // \ \2 6 6 // \ \ 2 6 6 //
producto
/ / / _______________\\ / / _______________\\\ / / / _______________\\ / / _______________\\\ / / / _______________\\ / / _______________\\\ / / / _______________ \\ / / _______________ \\\ | | | ___ ___ / ___ || | | ___ ___ / ___ ||| | | | ___ ___ / ___ || | | ___ ___ / ___ ||| | | | ___ ___ / ___ || | | ___ ___ / ___ ||| | | | ___ / ___ ___|| | | ___ / ___ ___||| pi | | | 1 I*\/ 3 \/ 6 *\/ 1 - 3*I*\/ 3 || | | 1 I*\/ 3 \/ 6 *\/ 1 - 3*I*\/ 3 ||| | | |1 I*\/ 3 \/ 6 *\/ 1 + 3*I*\/ 3 || | |1 I*\/ 3 \/ 6 *\/ 1 + 3*I*\/ 3 ||| | | |1 I*\/ 3 \/ 6 *\/ 1 - 3*I*\/ 3 || | |1 I*\/ 3 \/ 6 *\/ 1 - 3*I*\/ 3 ||| | | |1 \/ 6 *\/ 1 + 3*I*\/ 3 I*\/ 3 || | |1 \/ 6 *\/ 1 + 3*I*\/ 3 I*\/ 3 ||| --*|2*re|atan|- - + ------- + ------------------------|| + 2*I*im|atan|- - + ------- + ------------------------|||*|- 2*re|atan|- + ------- + ------------------------|| - 2*I*im|atan|- + ------- + ------------------------|||*|- 2*re|atan|- - ------- + ------------------------|| - 2*I*im|atan|- - ------- + ------------------------|||*|- 2*re|atan|- - ------------------------ + -------|| - 2*I*im|atan|- - ------------------------ + -------||| 2 \ \ \ 2 6 6 // \ \ 2 6 6 /// \ \ \2 6 6 // \ \2 6 6 /// \ \ \2 6 6 // \ \2 6 6 /// \ \ \2 6 6 // \ \2 6 6 ///
=
/ / / _______________\\ / / _______________\\\ / / / _______________ \\ / / _______________ \\\ / / / _______________\\ / / _______________\\\ / / / _______________\\ / / _______________\\\ | | | ___ ___ / ___ || | | ___ ___ / ___ ||| | | | ___ / ___ ___|| | | ___ / ___ ___||| | | | ___ ___ / ___ || | | ___ ___ / ___ ||| | | | ___ ___ / ___ || | | ___ ___ / ___ ||| | | |1 I*\/ 3 \/ 6 *\/ 1 - 3*I*\/ 3 || | |1 I*\/ 3 \/ 6 *\/ 1 - 3*I*\/ 3 ||| | | |1 \/ 6 *\/ 1 + 3*I*\/ 3 I*\/ 3 || | |1 \/ 6 *\/ 1 + 3*I*\/ 3 I*\/ 3 ||| | | |1 I*\/ 3 \/ 6 *\/ 1 + 3*I*\/ 3 || | |1 I*\/ 3 \/ 6 *\/ 1 + 3*I*\/ 3 ||| | | | 1 I*\/ 3 \/ 6 *\/ 1 - 3*I*\/ 3 || | | 1 I*\/ 3 \/ 6 *\/ 1 - 3*I*\/ 3 ||| -8*pi*|I*im|atan|- - ------- + ------------------------|| + re|atan|- - ------- + ------------------------|||*|I*im|atan|- - ------------------------ + -------|| + re|atan|- - ------------------------ + -------|||*|I*im|atan|- + ------- + ------------------------|| + re|atan|- + ------- + ------------------------|||*|I*im|atan|- - + ------- + ------------------------|| + re|atan|- - + ------- + ------------------------||| \ \ \2 6 6 // \ \2 6 6 /// \ \ \2 6 6 // \ \2 6 6 /// \ \ \2 6 6 // \ \2 6 6 /// \ \ \ 2 6 6 // \ \ 2 6 6 ///
-8*pi*(i*im(atan(1/2 - i*sqrt(3)/6 + sqrt(6)*sqrt(1 - 3*i*sqrt(3))/6)) + re(atan(1/2 - i*sqrt(3)/6 + sqrt(6)*sqrt(1 - 3*i*sqrt(3))/6)))*(i*im(atan(1/2 - sqrt(6)*sqrt(1 + 3*i*sqrt(3))/6 + i*sqrt(3)/6)) + re(atan(1/2 - sqrt(6)*sqrt(1 + 3*i*sqrt(3))/6 + i*sqrt(3)/6)))*(i*im(atan(1/2 + i*sqrt(3)/6 + sqrt(6)*sqrt(1 + 3*i*sqrt(3))/6)) + re(atan(1/2 + i*sqrt(3)/6 + sqrt(6)*sqrt(1 + 3*i*sqrt(3))/6)))*(i*im(atan(-1/2 + i*sqrt(3)/6 + sqrt(6)*sqrt(1 - 3*i*sqrt(3))/6)) + re(atan(-1/2 + i*sqrt(3)/6 + sqrt(6)*sqrt(1 - 3*i*sqrt(3))/6)))
x1 = -23.5619449019235
x2 = 9.42477796076938
x3 = 51.8362787842316
x4 = -17.2787595947439
x5 = -36.1283155162826
x6 = -34.5575191894877
x7 = -48.6946861306418
x8 = -97.3893722612836
x9 = 699.004365423729
x10 = 89.5353906273091
x11 = 14.1371669411541
x12 = -3.14159265358979
x13 = 95.8185759344887
x14 = 59.6902604182061
x15 = 58.1194640914112
x16 = 102.101761241668
x17 = -47.1238898038469
x18 = -73.8274273593601
x19 = 28.2743338823081
x20 = -4.71238898038469
x21 = 556.061899685393
x22 = 83.2522053201295
x23 = -59.6902604182061
x24 = -42.4115008234622
x25 = -92.6769832808989
x26 = -91.106186954104
x27 = 15.707963267949
x28 = 34.5575191894877
x29 = 21.9911485751286
x30 = 40.8407044966673
x31 = 45.553093477052
x32 = 65.9734457253857
x33 = -72.2566310325652
x34 = -419.402619254237
x35 = 20.4203522483337
x36 = 64.4026493985908
x37 = -21.9911485751286
x38 = 91.106186954104
x39 = 53.4070751110265
x40 = -28.2743338823081
x41 = -65.9734457253857
x42 = -53.4070751110265
x43 = -80.1106126665397
x44 = 7.85398163397448
x45 = 409.977841293468
x46 = -15.707963267949
x47 = 39.2699081698724
x48 = -67.5442420521806
x49 = 84.8230016469244
x50 = 72.2566310325652
x51 = -29.845130209103
x52 = -86.3937979737193
x53 = 78.5398163397448
x54 = -9.42477796076938
x55 = 1.5707963267949
x56 = 76.9690200129499
x56 = 76.9690200129499