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sin2x-3sinx*cosx=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
sin(2*x) - 3*sin(x)*cos(x) = 0
$$- 3 \sin{\left(x \right)} \cos{\left(x \right)} + \sin{\left(2 x \right)} = 0$$
Gráfica
Suma y producto de raíces [src]
suma
  pi   pi     
- -- + -- + pi
  2    2      
$$\left(- \frac{\pi}{2} + \frac{\pi}{2}\right) + \pi$$
=
pi
$$\pi$$
producto
  -pi  pi   
0*----*--*pi
   2   2    
$$\pi \frac{\pi}{2} \cdot 0 \left(- \frac{\pi}{2}\right)$$
=
0
$$0$$
0
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
     -pi 
x2 = ----
      2  
$$x_{2} = - \frac{\pi}{2}$$
     pi
x3 = --
     2 
$$x_{3} = \frac{\pi}{2}$$
x4 = pi
$$x_{4} = \pi$$
x4 = pi
Respuesta numérica [src]
x1 = 4.71238898038469
x2 = -59.6902604182061
x3 = 7.85398163397448
x4 = -21.9911485751286
x5 = -75.398223686155
x6 = -39.2699081698724
x7 = 50.2654824574367
x8 = 95.8185759344887
x9 = 34.5575191894877
x10 = -86.3937979737193
x11 = -48.6946861306418
x12 = -45.553093477052
x13 = 26.7035375555132
x14 = -20.4203522483337
x15 = 0.0
x16 = -64.4026493985908
x17 = 43.9822971502571
x18 = -43.9822971502571
x19 = 48.6946861306418
x20 = -58.1194640914112
x21 = 23.5619449019235
x22 = -80.1106126665397
x23 = -65.9734457253857
x24 = -83.2522053201295
x25 = 86.3937979737193
x26 = 45.553093477052
x27 = 56.5486677646163
x28 = 51.8362787842316
x29 = -87.9645943005142
x30 = -14.1371669411541
x31 = 20.4203522483337
x32 = 87.9645943005142
x33 = 59.6902604182061
x34 = -73.8274273593601
x35 = 31.4159265358979
x36 = -81.6814089933346
x37 = 72.2566310325652
x38 = -9.42477796076938
x39 = -29.845130209103
x40 = -72.2566310325652
x41 = 81.6814089933346
x42 = -31.4159265358979
x43 = -89.5353906273091
x44 = 64.4026493985908
x45 = -94.2477796076938
x46 = -50.2654824574367
x47 = 28.2743338823081
x48 = 29.845130209103
x49 = -51.8362787842316
x50 = 92.6769832808989
x51 = -67.5442420521806
x52 = 100.530964914873
x53 = -53.4070751110265
x54 = 94.2477796076938
x55 = 21.9911485751286
x56 = -36.1283155162826
x57 = -15.707963267949
x58 = -7.85398163397448
x59 = 65.9734457253857
x60 = 14.1371669411541
x61 = -6.28318530717959
x62 = 113.097335529233
x63 = 89.5353906273091
x64 = 80.1106126665397
x65 = 78.5398163397448
x66 = 15.707963267949
x67 = 37.6991118430775
x68 = 42.4115008234622
x69 = -97.3893722612836
x70 = 70.6858347057703
x71 = 36.1283155162826
x72 = -1.5707963267949
x73 = -95.8185759344887
x74 = 6.28318530717959
x75 = -23.5619449019235
x76 = -28.2743338823081
x77 = -40.8407044966673
x78 = 67.5442420521806
x79 = 12.5663706143592
x80 = -17.2787595947439
x81 = -119.380520836412
x82 = -37.6991118430775
x83 = 73.8274273593601
x84 = 58.1194640914112
x85 = -61.261056745001
x86 = 1.5707963267949
x87 = 590.619418874881
x88 = -42.4115008234622
x88 = -42.4115008234622