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-sin(2*x)-sin(x)=0

-sin(2*x)-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
Suma y producto de raíces [src]
suma
  4*pi        2*pi   2*pi        4*pi       
- ---- - pi - ---- + ---- + pi + ---- + 2*pi
   3           3      3           3         
$$\left(\left(\left(\left(\left(- \frac{4 \pi}{3} - \pi\right) - \frac{2 \pi}{3}\right) + \frac{2 \pi}{3}\right) + \pi\right) + \frac{4 \pi}{3}\right) + 2 \pi$$
=
2*pi
$$2 \pi$$
producto
  -4*pi       -2*pi 2*pi    4*pi     
0*-----*(-pi)*-----*----*pi*----*2*pi
    3           3    3       3       
$$2 \pi \frac{4 \pi}{3} \pi \frac{2 \pi}{3} \cdot - \frac{2 \pi}{3} \cdot - \pi 0 \left(- \frac{4 \pi}{3}\right)$$
=
0
$$0$$
0
Respuesta numérica [src]
x1 = 18.8495559215388
x2 = 35.6047167406843
x3 = 100.530964914873
x4 = -58.6430628670095
x5 = -35.6047167406843
x6 = -81.6814089933346
x7 = 65.9734457253857
x8 = -73.3038285837618
x9 = -12.5663706143592
x10 = -43.9822971502571
x11 = 92.1533845053006
x12 = -52.3598775598299
x13 = 90.0589894029074
x14 = 78.5398163397448
x15 = -14.6607657167524
x16 = -56.5486677646163
x17 = -33.5103216382911
x18 = 31.4159265358979
x19 = 4.18879020478639
x20 = -77.4926187885482
x21 = -67.0206432765823
x22 = 83.7758040957278
x23 = 8.37758040957278
x24 = -31.4159265358979
x25 = 21.9911485751286
x26 = -53.4070751110265
x27 = -87.9645943005142
x28 = 94.2477796076938
x29 = 2.0943951023932
x30 = -96.342174710087
x31 = 29.3215314335047
x32 = 12.5663706143592
x33 = 73.3038285837618
x34 = -8.37758040957278
x35 = -21.9911485751286
x36 = -15.707963267949
x37 = -100.530964914873
x38 = -69.1150383789755
x39 = 54.4542726622231
x40 = -59.6902604182061
x41 = 28.2743338823081
x42 = -75.398223686155
x43 = -9.42477796076938
x44 = -5612.97887441376
x45 = 14.6607657167524
x46 = -23.0383461263252
x47 = 48.1710873550435
x48 = -65.9734457253857
x49 = 52.3598775598299
x50 = -46.0766922526503
x51 = 15.707963267949
x52 = 64.9262481741891
x53 = 79.5870138909414
x54 = 56.5486677646163
x55 = 34.5575191894877
x56 = 72.2566310325652
x57 = 0.0
x58 = 58.6430628670095
x59 = 75.398223686155
x60 = 41.8879020478639
x61 = 10.471975511966
x62 = -92.1533845053006
x63 = 96.342174710087
x64 = -29.3215314335047
x65 = 43.9822971502571
x66 = -25.1327412287183
x67 = -48.1710873550435
x68 = -2.0943951023932
x69 = 87.9645943005142
x70 = 98.4365698124802
x71 = 85.870199198121
x72 = 59.6902604182061
x73 = -72.2566310325652
x74 = -37.6991118430775
x75 = 39.7935069454707
x76 = -28.2743338823081
x77 = -85.870199198121
x78 = -79.5870138909414
x79 = -94.2477796076938
x80 = 37.6991118430775
x81 = -50.2654824574367
x82 = 81.6814089933346
x83 = 20.943951023932
x84 = -4.18879020478639
x85 = -39.7935069454707
x86 = 50.2654824574367
x87 = -41.8879020478639
x88 = 46.0766922526503
x89 = -6.28318530717959
x90 = 62.8318530717959
x91 = 6.28318530717959
x92 = -90.0589894029074
x93 = -83.7758040957278
x93 = -83.7758040957278
Gráfico
-sin(2*x)-sin(x)=0 la ecuación