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sin(x)*(cos(x)*sin(x) - 1) = 0
suma
/ / _____________\\ / / _____________\\ / / _____________\\ / / _____________\\ / / _____________\\ / / _____________\\ / / _____________ \\ / / _____________ \\ | | ___ ___ / ___ || | | ___ ___ / ___ || | | ___ ___ / ___ || | | ___ ___ / ___ || | | ___ ___ / ___ || | | ___ ___ / ___ || | | ___ / ___ ___|| | | ___ / ___ ___|| | | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 || | | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 || | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 || | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 || | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 || | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 || | |1 \/ 2 *\/ 1 - I*\/ 3 I*\/ 3 || | |1 \/ 2 *\/ 1 - 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 2 // \ \ 2 2 2 // \ \2 2 2 // \ \2 2 2 // \ \2 2 2 // \ \2 2 2 // \ \2 2 2 // \ \2 2 2 //
=
/ / _____________\\ / / _____________\\ / / _____________ \\ / / _____________\\ / / _____________\\ / / _____________\\ / / _____________ \\ / / _____________\\ | | ___ ___ / ___ || | | ___ ___ / ___ || | | ___ / ___ ___|| | | ___ ___ / ___ || | | ___ ___ / ___ || | | ___ ___ / ___ || | | ___ / ___ ___|| | | ___ ___ / ___ || | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 || | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 || | |1 \/ 2 *\/ 1 - I*\/ 3 I*\/ 3 || | | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 || | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 || | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 || | |1 \/ 2 *\/ 1 - I*\/ 3 I*\/ 3 || | | 1 I*\/ 3 \/ 2 *\/ 1 - 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 2 // \ \2 2 2 // \ \2 2 2 // \ \ 2 2 2 // \ \2 2 2 // \ \2 2 2 // \ \2 2 2 // \ \ 2 2 2 //
producto
/ / / _____________\\ / / _____________\\\ / / / _____________\\ / / _____________\\\ / / / _____________\\ / / _____________\\\ / / / _____________ \\ / / _____________ \\\ | | | ___ ___ / ___ || | | ___ ___ / ___ ||| | | | ___ ___ / ___ || | | ___ ___ / ___ ||| | | | ___ ___ / ___ || | | ___ ___ / ___ ||| | | | ___ / ___ ___|| | | ___ / ___ ___||| | | | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 || | | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 ||| | | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 || | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 ||| | | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 || | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 ||| | | |1 \/ 2 *\/ 1 - I*\/ 3 I*\/ 3 || | |1 \/ 2 *\/ 1 - I*\/ 3 I*\/ 3 ||| 0*|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 2 // \ \ 2 2 2 /// \ \ \2 2 2 // \ \2 2 2 /// \ \ \2 2 2 // \ \2 2 2 /// \ \ \2 2 2 // \ \2 2 2 ///
=
0
0
x1 = 0
/ / _____________\\ / / _____________\\ | | ___ ___ / ___ || | | ___ ___ / ___ || | | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 || | | 1 I*\/ 3 \/ 2 *\/ 1 - I*\/ 3 || x2 = 2*re|atan|- - + ------- + ----------------------|| + 2*I*im|atan|- - + ------- + ----------------------|| \ \ 2 2 2 // \ \ 2 2 2 //
/ / _____________\\ / / _____________\\ | | ___ ___ / ___ || | | ___ ___ / ___ || | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 || | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 || x3 = - 2*re|atan|- + ------- - ----------------------|| - 2*I*im|atan|- + ------- - ----------------------|| \ \2 2 2 // \ \2 2 2 //
/ / _____________\\ / / _____________\\ | | ___ ___ / ___ || | | ___ ___ / ___ || | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 || | |1 I*\/ 3 \/ 2 *\/ 1 + I*\/ 3 || x4 = - 2*re|atan|- + ------- + ----------------------|| - 2*I*im|atan|- + ------- + ----------------------|| \ \2 2 2 // \ \2 2 2 //
/ / _____________ \\ / / _____________ \\ | | ___ / ___ ___|| | | ___ / ___ ___|| | |1 \/ 2 *\/ 1 - I*\/ 3 I*\/ 3 || | |1 \/ 2 *\/ 1 - I*\/ 3 I*\/ 3 || x5 = - 2*re|atan|- + ---------------------- - -------|| - 2*I*im|atan|- + ---------------------- - -------|| \ \2 2 2 // \ \2 2 2 //
x5 = -2*re(atan(1/2 - sqrt(3)*i/2 + sqrt(2)*sqrt(1 - sqrt(3)*i)/2)) - 2*i*im(atan(1/2 - sqrt(3)*i/2 + sqrt(2)*sqrt(1 - sqrt(3)*i)/2))
x1 = 72.2566310325652
x2 = -59.6902604182061
x3 = 3.14159265358979
x4 = -43.9822971502571
x5 = 81.6814089933346
x6 = -100.530964914873
x7 = 28.2743338823081
x8 = 65.9734457253857
x9 = -31.4159265358979
x10 = -9.42477796076938
x11 = 40.8407044966673
x12 = 56.5486677646163
x13 = -56.5486677646163
x14 = 12.5663706143592
x15 = 43.9822971502571
x16 = 100.530964914873
x17 = -3.14159265358979
x18 = -15.707963267949
x19 = 59.6902604182061
x20 = 6.28318530717959
x21 = 9.42477796076938
x22 = -53.4070751110265
x23 = -47.1238898038469
x24 = -87.9645943005142
x25 = 69.1150383789755
x26 = 21.9911485751286
x27 = 87.9645943005142
x28 = 18.8495559215388
x29 = -84.8230016469244
x30 = -72.2566310325652
x31 = 25.1327412287183
x32 = 37.6991118430775
x33 = -25.1327412287183
x34 = 0.0
x35 = 50.2654824574367
x36 = -6.28318530717959
x37 = -65.9734457253857
x38 = -21.9911485751286
x39 = -62.8318530717959
x40 = 75.398223686155
x41 = 84.8230016469244
x42 = 53.4070751110265
x43 = 34.5575191894877
x44 = -28.2743338823081
x45 = 15.707963267949
x46 = -91.106186954104
x47 = 47.1238898038469
x48 = 97.3893722612836
x49 = -69.1150383789755
x50 = 94.2477796076938
x51 = -18.8495559215388
x52 = -50.2654824574367
x53 = -37.6991118430775
x54 = -81.6814089933346
x55 = 62.8318530717959
x56 = 78.5398163397448
x57 = 31.4159265358979
x58 = -78.5398163397448
x59 = -40.8407044966673
x60 = -97.3893722612836
x61 = -75.398223686155
x62 = 91.106186954104
x63 = -12.5663706143592
x64 = -94.2477796076938
x65 = -34.5575191894877
x65 = -34.5575191894877