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(sin4x+sin2x)/cos2x=tg2x la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

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