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sin2x-sin(x)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
sin(2*x) - sin(x) = 0
$$- \sin{\left(x \right)} + \sin{\left(2 x \right)} = 0$$
Gráfica
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
     -5*pi
x2 = -----
       3  
$$x_{2} = - \frac{5 \pi}{3}$$
x3 = -pi
$$x_{3} = - \pi$$
     -pi 
x4 = ----
      3  
$$x_{4} = - \frac{\pi}{3}$$
     pi
x5 = --
     3 
$$x_{5} = \frac{\pi}{3}$$
x6 = pi
$$x_{6} = \pi$$
     5*pi
x7 = ----
      3  
$$x_{7} = \frac{5 \pi}{3}$$
x7 = 5*pi/3
Suma y producto de raíces [src]
suma
  5*pi        pi   pi        5*pi
- ---- - pi - -- + -- + pi + ----
   3          3    3          3  
$$\left(\left(\left(\left(- \frac{5 \pi}{3} - \pi\right) - \frac{\pi}{3}\right) + \frac{\pi}{3}\right) + \pi\right) + \frac{5 \pi}{3}$$
=
0
$$0$$
producto
  -5*pi       -pi  pi    5*pi
0*-----*(-pi)*----*--*pi*----
    3          3   3      3  
$$\frac{5 \pi}{3} \pi \frac{\pi}{3} \cdot - \frac{\pi}{3} \cdot - \pi 0 \left(- \frac{5 \pi}{3}\right)$$
=
0
$$0$$
0
Respuesta numérica [src]
x1 = 17.8023583703422
x2 = -31.4159265358979
x3 = -34.5575191894877
x4 = -45.0294947014537
x5 = -99.4837673636768
x6 = 70.162235930172
x7 = 13.6135681655558
x8 = -47.1238898038469
x9 = 32.4631240870945
x10 = -68.0678408277789
x11 = -59.6902604182061
x12 = -879.645943005142
x13 = 7.33038285837618
x14 = 21.9911485751286
x15 = 43.9822971502571
x16 = 15.707963267949
x17 = 53.4070751110265
x18 = -53.4070751110265
x19 = -1.0471975511966
x20 = -89.0117918517108
x21 = -6.28318530717959
x22 = 78.5398163397448
x23 = 1.0471975511966
x24 = 26.1799387799149
x25 = 63.8790506229925
x26 = 95.2949771588904
x27 = -80.634211442138
x28 = 68.0678408277789
x29 = -13.6135681655558
x30 = -57.5958653158129
x31 = 94.2477796076938
x32 = 12.5663706143592
x33 = -55.5014702134197
x34 = 51.3126800086333
x35 = 81.6814089933346
x36 = 40.8407044966673
x37 = 76.4454212373516
x38 = -72.2566310325652
x39 = -19.8967534727354
x40 = -11.5191730631626
x41 = 0.0
x42 = -50.2654824574367
x43 = -81.6814089933346
x44 = -61.7846555205993
x45 = 9.42477796076938
x46 = 80.634211442138
x47 = -87.9645943005142
x48 = 6.28318530717959
x49 = -26.1799387799149
x50 = 86.9173967493176
x51 = -37.6991118430775
x52 = 34.5575191894877
x53 = 65.9734457253857
x54 = -51.3126800086333
x55 = 57.5958653158129
x56 = 30.3687289847013
x57 = -28.2743338823081
x58 = 61.7846555205993
x59 = -70.162235930172
x60 = 72.2566310325652
x61 = -95.2949771588904
x62 = -78.5398163397448
x63 = -43.9822971502571
x64 = 42.9350995990605
x65 = -9.42477796076938
x66 = -36.6519142918809
x67 = 19.8967534727354
x68 = -74.3510261349584
x69 = -75.398223686155
x70 = -97.3893722612836
x71 = 87.9645943005142
x72 = -3.14159265358979
x73 = 59.6902604182061
x74 = -17.8023583703422
x75 = 24.0855436775217
x76 = 100.530964914873
x77 = 28.2743338823081
x78 = 97.3893722612836
x79 = 74.3510261349584
x80 = -94.2477796076938
x81 = 36.6519142918809
x82 = -21.9911485751286
x83 = 56.5486677646163
x84 = -65.9734457253857
x85 = -15.707963267949
x86 = -7.33038285837618
x87 = -30.3687289847013
x88 = 84.8230016469244
x89 = -24.0855436775217
x90 = 11.5191730631626
x91 = -63.8790506229925
x92 = 50.2654824574367
x93 = 37.6991118430775
x93 = 37.6991118430775