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2*sin(x)-cos(2*x)*sin(x)=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
2*sin(x) - cos(2*x)*sin(x) = 0
$$- \sin{\left(x \right)} \cos{\left(2 x \right)} + 2 \sin{\left(x \right)} = 0$$
Gráfica
Suma y producto de raíces [src]
suma
         /  ___\          /  ___\
         |\/ 3 |          |\/ 3 |
- I*atanh|-----| + I*atanh|-----|
         \  3  /          \  3  /
$$- i \operatorname{atanh}{\left(\frac{\sqrt{3}}{3} \right)} + i \operatorname{atanh}{\left(\frac{\sqrt{3}}{3} \right)}$$
=
0
$$0$$
producto
  /        /  ___\\        /  ___\
  |        |\/ 3 ||        |\/ 3 |
0*|-I*atanh|-----||*I*atanh|-----|
  \        \  3  //        \  3  /
$$i \operatorname{atanh}{\left(\frac{\sqrt{3}}{3} \right)} 0 \left(- i \operatorname{atanh}{\left(\frac{\sqrt{3}}{3} \right)}\right)$$
=
0
$$0$$
0
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
             /  ___\
             |\/ 3 |
x2 = -I*atanh|-----|
             \  3  /
$$x_{2} = - i \operatorname{atanh}{\left(\frac{\sqrt{3}}{3} \right)}$$
            /  ___\
            |\/ 3 |
x3 = I*atanh|-----|
            \  3  /
$$x_{3} = i \operatorname{atanh}{\left(\frac{\sqrt{3}}{3} \right)}$$
x3 = i*atanh(sqrt(3)/3)
Respuesta numérica [src]
x1 = 69.1150383789755
x2 = 65.9734457253857
x3 = -91.106186954104
x4 = -103.672557568463
x5 = -59.6902604182061
x6 = -21.9911485751286
x7 = 12.5663706143592
x8 = 21.9911485751286
x9 = -69.1150383789755
x10 = -100.530964914873
x11 = 3.14159265358979
x12 = 109.955742875643
x13 = -3.14159265358979
x14 = -25.1327412287183
x15 = -15.707963267949
x16 = -53.4070751110265
x17 = -72.2566310325652
x18 = 84.8230016469244
x19 = -81.6814089933346
x20 = -94.2477796076938
x21 = 18.8495559215388
x22 = -65.9734457253857
x23 = 144.51326206513
x24 = 9.42477796076938
x25 = 94.2477796076938
x26 = -40.8407044966673
x27 = 34.5575191894877
x28 = 0.0
x29 = 97.3893722612836
x30 = 53.4070751110265
x31 = -62.8318530717959
x32 = 59.6902604182061
x33 = -28.2743338823081
x34 = -56.5486677646163
x35 = 91.106186954104
x36 = 15.707963267949
x37 = -18.8495559215388
x38 = 6.28318530717959
x39 = 56.5486677646163
x40 = 87.9645943005142
x41 = 31.4159265358979
x42 = 25.1327412287183
x43 = 43.9822971502571
x44 = -47.1238898038469
x45 = 72.2566310325652
x46 = -34.5575191894877
x47 = -97.3893722612836
x48 = -50.2654824574367
x49 = 100.530964914873
x50 = 534.070751110265
x51 = 81.6814089933346
x52 = -75.398223686155
x53 = 40.8407044966673
x54 = -9.42477796076938
x55 = 78.5398163397448
x56 = -87.9645943005142
x57 = 37.6991118430775
x58 = -78.5398163397448
x59 = -6.28318530717959
x60 = 50.2654824574367
x61 = -37.6991118430775
x62 = -43.9822971502571
x63 = 47.1238898038469
x64 = 28.2743338823081
x65 = 62.8318530717959
x66 = -31.4159265358979
x67 = -12.5663706143592
x68 = 75.398223686155
x69 = -84.8230016469244
x69 = -84.8230016469244