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2*sin^3(x)+sin(x)+√2=√2*cos(2x) la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
     3                 ___     ___         
2*sin (x) + sin(x) + \/ 2  = \/ 2 *cos(2*x)
$$\left(2 \sin^{3}{\left(x \right)} + \sin{\left(x \right)}\right) + \sqrt{2} = \sqrt{2} \cos{\left(2 x \right)}$$
Gráfica
Suma y producto de raíces [src]
suma
  3*pi   pi     
- ---- - -- + pi
   4     4      
$$\left(- \frac{3 \pi}{4} - \frac{\pi}{4}\right) + \pi$$
=
0
$$0$$
producto
  -3*pi -pi    
0*-----*----*pi
    4    4     
$$\pi - \frac{\pi}{4} \cdot 0 \left(- \frac{3 \pi}{4}\right)$$
=
0
$$0$$
0
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
     -3*pi
x2 = -----
       4  
$$x_{2} = - \frac{3 \pi}{4}$$
     -pi 
x3 = ----
      4  
$$x_{3} = - \frac{\pi}{4}$$
x4 = pi
$$x_{4} = \pi$$
x4 = pi
Respuesta numérica [src]
x1 = -31.4159265358979
x2 = 150.011049013612
x3 = 80.8960105206362
x4 = -76.183621753149
x5 = -13.3517688625278
x6 = -47.1238898038469
x7 = 47.9092880376988
x8 = -69.1150383789755
x9 = -46.3384915264442
x10 = 10.2101760268559
x11 = -59.6902604182061
x12 = 21.9911485751286
x13 = 69.1150383789755
x14 = 43.9822971502571
x15 = 15.707963267949
x16 = 91.106186954104
x17 = -53.4070751110265
x18 = -100.530964914873
x19 = 16.4933613434776
x20 = -2.35619438156957
x21 = -12.5663706143592
x22 = 958.971156684268
x23 = -6.28318530717959
x24 = 78.5398163397448
x25 = 3.92699087749397
x26 = -19.6349541518317
x27 = 47.1238898038469
x28 = -62.8318530717959
x29 = 98.174770499909
x30 = 18.0641575846511
x31 = -71.4712329374826
x32 = 94.2477796076938
x33 = 31.4159265358979
x34 = -69.9004357128498
x35 = 81.6814089933346
x36 = 40.8407044966673
x37 = -84.0376040088984
x38 = 55.7632696940828
x39 = -84.0376034472452
x40 = 41.6261027610039
x41 = -77.7544181730247
x42 = 0.0
x43 = 75.398223686155
x44 = -27.4889358001403
x45 = -50.2654824574367
x46 = -81.6814089933346
x47 = -40.0553062840376
x48 = 85.6083999005207
x49 = 62.0464545899974
x50 = 74.6128254182913
x51 = 24.3473430068043
x52 = -33.7721210085352
x53 = -87.9645943005142
x54 = 6.28318530717959
x55 = -33.772121305007
x56 = 3.14159265358979
x57 = 62.0464548180514
x58 = -37.6991118430775
x59 = 10.2101761578126
x60 = -91.106186954104
x61 = 34.5575191894877
x62 = -44.7676955506613
x63 = 65.9734457253857
x64 = 11.7809725471936
x65 = -57.3340659960851
x66 = 72.2566310325652
x67 = 99.745566837776
x68 = -43.9822971502571
x69 = -9.42477796076938
x70 = -25.1327412287183
x71 = -18.8495559215388
x72 = 30.6305282760579
x73 = -97.3893722612836
x74 = 87.9645943005142
x75 = -90.3207886731237
x76 = -3.14159265358979
x77 = -40.8407044966673
x78 = 54.1924733268253
x79 = 28.2743338823081
x80 = 97.3893722612836
x81 = 25.1327412287183
x82 = -94.2477796076938
x83 = -56.5486677646163
x84 = 68.3296401660527
x85 = 60.4756584910616
x86 = -96.6039748727369
x87 = -32.2013246020429
x88 = -21.9911485751286
x89 = 91.8915851967953
x90 = -65.9734457253857
x91 = -15.707963267949
x92 = 84.8230016469244
x93 = -63.6172513098698
x94 = -84.8230016469244
x95 = -77.7544183943799
x96 = 50.2654824574367
x97 = 37.6991118430775
x97 = 37.6991118430775