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sin(3x)cos(x)-sin(x)cos(3x)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
sin(3*x)*cos(x) - sin(x)*cos(3*x) = 0
$$- \sin{\left(x \right)} \cos{\left(3 x \right)} + \sin{\left(3 x \right)} \cos{\left(x \right)} = 0$$
Gráfica
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
     -pi 
x2 = ----
      2  
$$x_{2} = - \frac{\pi}{2}$$
     pi
x3 = --
     2 
$$x_{3} = \frac{\pi}{2}$$
x3 = pi/2
Suma y producto de raíces [src]
suma
  pi   pi
- -- + --
  2    2 
$$- \frac{\pi}{2} + \frac{\pi}{2}$$
=
0
$$0$$
producto
  -pi  pi
0*----*--
   2   2 
$$\frac{\pi}{2} \cdot 0 \left(- \frac{\pi}{2}\right)$$
=
0
$$0$$
0
Respuesta numérica [src]
x1 = 1.5707963267949
x2 = -50.2654824574367
x3 = -474.380490692059
x4 = -119.380520836412
x5 = 14.1371669411541
x6 = 590.619418874881
x7 = -36.1283155162826
x8 = 7.85398163397448
x9 = 72.2566310325652
x10 = 42.4115008234622
x11 = -43.9822971502571
x12 = -37.6991118430775
x13 = -89.5353906273091
x14 = 34.5575191894877
x15 = -94.2477796076938
x16 = -67.5442420521806
x17 = -51.8362787842316
x18 = -83.2522053201295
x19 = -14.1371669411541
x20 = -21.9911485751286
x21 = 92.6769832808989
x22 = -15.707963267949
x23 = 50.2654824574367
x24 = 64.4026493985908
x25 = 48.6946861306418
x26 = 67.5442420521806
x27 = 21.9911485751286
x28 = -87.9645943005142
x29 = -72.2566310325652
x30 = 23.5619449019235
x31 = 59.6902604182061
x32 = -40.8407044966673
x33 = -80.1106126665397
x34 = -9.42477796076938
x35 = 31.4159265358979
x36 = -64.4026493985908
x37 = -29.845130209103
x38 = -86.3937979737193
x39 = 4.71238898038469
x40 = 20.4203522483337
x41 = -65.9734457253857
x42 = 15.707963267949
x43 = 28.2743338823081
x44 = 94.2477796076938
x45 = 37.6991118430775
x46 = -1.5707963267949
x47 = 6.28318530717959
x48 = 86.3937979737193
x49 = -53.4070751110265
x50 = -39.2699081698724
x51 = -6.28318530717959
x52 = 36.1283155162826
x53 = -75.398223686155
x54 = 51.8362787842316
x55 = 80.1106126665397
x56 = 0.0
x57 = 89.5353906273091
x58 = 58.1194640914112
x59 = 73.8274273593601
x60 = -58.1194640914112
x61 = -20.4203522483337
x62 = -97.3893722612836
x63 = -95.8185759344887
x64 = 29.845130209103
x65 = -28.2743338823081
x66 = 81.6814089933346
x67 = 26.7035375555132
x68 = 100.530964914873
x69 = -23.5619449019235
x70 = -42.4115008234622
x71 = 113.097335529233
x72 = -61.261056745001
x73 = -48.6946861306418
x74 = 78.5398163397448
x75 = 70.6858347057703
x76 = 12.5663706143592
x77 = 87.9645943005142
x78 = 43.9822971502571
x79 = -31.4159265358979
x80 = 45.553093477052
x81 = 56.5486677646163
x82 = -81.6814089933346
x83 = -73.8274273593601
x84 = -59.6902604182061
x85 = 65.9734457253857
x86 = -45.553093477052
x87 = -7.85398163397448
x88 = -17.2787595947439
x89 = 95.8185759344887
x89 = 95.8185759344887