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(sin2x+2sin^2x)/(sqrt(-cosx))=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
                2       
sin(2*x) + 2*sin (x)    
-------------------- = 0
      _________         
    \/ -cos(x)          
2sin2(x)+sin(2x)cos(x)=0\frac{2 \sin^{2}{\left(x \right)} + \sin{\left(2 x \right)}}{\sqrt{- \cos{\left(x \right)}}} = 0
Gráfica
0-80-60-40-2020406080-100100200-100
Respuesta rápida [src]
x1 = 0
x1=0x_{1} = 0
     -pi 
x2 = ----
      4  
x2=π4x_{2} = - \frac{\pi}{4}
     3*pi
x3 = ----
      4  
x3=3π4x_{3} = \frac{3 \pi}{4}
x4 = pi
x4=πx_{4} = \pi
x4 = pi
Suma y producto de raíces [src]
suma
  pi   3*pi     
- -- + ---- + pi
  4     4       
(π4+3π4)+π\left(- \frac{\pi}{4} + \frac{3 \pi}{4}\right) + \pi
=
3*pi
----
 2  
3π2\frac{3 \pi}{2}
producto
  -pi  3*pi   
0*----*----*pi
   4    4     
π3π40(π4)\pi \frac{3 \pi}{4} \cdot 0 \left(- \frac{\pi}{4}\right)
=
0
00
0
Respuesta numérica [src]
x1 = 18.0641577581413
x2 = 52.621676947629
x3 = -72.2566310325652
x4 = 91.106186954104
x5 = 25.1327412287183
x6 = -59.6902604182061
x7 = -7.06858347057703
x8 = -51.0508806208341
x9 = -69.9004365423729
x10 = 46.3384916404494
x11 = -6.28318530717959
x12 = 40.8407044966673
x13 = 72.2566310325652
x14 = 80.8960108299372
x15 = -98.174770424681
x16 = 37.6991118430775
x17 = -47.1238898038469
x18 = 36.9137136796801
x19 = 94.2477796076938
x20 = 31.4159265358979
x21 = -12.5663706143592
x22 = 30.6305283725005
x23 = -91.8915851175014
x24 = -87.9645943005142
x25 = 14.9225651045515
x26 = 59.6902604182061
x27 = 84.8230016469244
x28 = 0.0
x29 = -31.4159265358979
x30 = 50.2654824574367
x31 = 11.7809724509617 - 2.93639120501169e-17*i
x32 = -19.6349540849362
x33 = 68.329640215578
x34 = -21.9911485751286
x35 = -57.3340659280137
x36 = -85.6083998103219
x37 = -47.9092879672443
x38 = -34.5575191894877
x39 = 165.719012476862
x40 = 40.0553063332699
x41 = 75.398223686155
x42 = 69.1150383789755
x43 = -3.14159265358979
x44 = 87.9645943005142
x45 = 53.4070751110265
x46 = -69.1150383789755
x47 = 8.63937979737193
x48 = -79.3252145031423
x49 = -25.1327412287183
x50 = 81.6814089933346
x51 = 24.3473430653209
x52 = -25.9181393921158
x53 = -73.0420291959627
x54 = -37.6991118430775
x55 = -43.9822971502571
x56 = -65.9734457253857
x57 = -13.3517687777566
x58 = 18.8495559215388
x59 = 3.14159265358979
x60 = 6.28318530717959
x61 = -78.5398163397448
x62 = 90.3207887907066
x63 = 47.1238898038469
x64 = 56.5486677646163
x65 = 28.2743338823081
x66 = -35.3429173528852
x67 = -3.92699081698724
x68 = -94.2477796076938
x69 = -91.106186954104
x70 = -29.0597320457056
x71 = 43.9822971502571
x72 = 62.8318530717959
x73 = -9.42477796076938
x74 = 65.9734457253857
x75 = -41.6261026600648
x76 = 2.35619449019234
x77 = -100.530964914873
x78 = -76.1836218495525
x79 = -15.707963267949
x80 = 97.3893722612836
x81 = -50.2654824574367
x82 = -18.8495559215388
x83 = 15.707963267949
x84 = 58.9048622548086
x85 = 74.6128255227576
x86 = 9.42477796076938
x87 = -56.5486677646163
x88 = -62.8318530717959
x89 = -84.8230016469244
x90 = -95.0331777710912
x91 = 21.9911485751286
x92 = 62.0464549083984
x93 = -40.8407044966673
x94 = -28.2743338823081
x95 = 96.6039740978861
x96 = -63.6172512351933
x97 = -81.6814089933346
x98 = 84.037603483527
x98 = 84.037603483527