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2*sin(x)^(2)-sqrt(3)*sin(2*x)=0

2*sin(x)^(2)-sqrt(3)*sin(2*x)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
     2        ___             
2*sin (x) - \/ 3 *sin(2*x) = 0
$$2 \sin^{2}{\left(x \right)} - \sqrt{3} \sin{\left(2 x \right)} = 0$$
Gráfica
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
     -2*pi
x2 = -----
       3  
$$x_{2} = - \frac{2 \pi}{3}$$
     pi
x3 = --
     3 
$$x_{3} = \frac{\pi}{3}$$
x4 = pi
$$x_{4} = \pi$$
x4 = pi
Suma y producto de raíces [src]
suma
  2*pi   pi     
- ---- + -- + pi
   3     3      
$$\left(- \frac{2 \pi}{3} + \frac{\pi}{3}\right) + \pi$$
=
2*pi
----
 3  
$$\frac{2 \pi}{3}$$
producto
  -2*pi pi   
0*-----*--*pi
    3   3    
$$\pi \frac{\pi}{3} \cdot 0 \left(- \frac{2 \pi}{3}\right)$$
=
0
$$0$$
0
Respuesta numérica [src]
x1 = 18.8495559215388
x2 = 35.6047167406843
x3 = 26.1799387799149
x4 = 100.530964914873
x5 = 40.8407044966673
x6 = -58.6430628670095
x7 = -81.6814089933346
x8 = 65.9734457253857
x9 = 13.6135681655558
x10 = -43.9822971502571
x11 = 92.1533845053006
x12 = -52.3598775598299
x13 = 78.5398163397448
x14 = -14.6607657167524
x15 = -33.5103216382911
x16 = 4.18879020478639
x17 = -77.4926187885482
x18 = -99.4837673636768
x19 = 101.57816246607
x20 = -31.4159265358979
x21 = 21.9911485751286
x22 = -53.4070751110265
x23 = -87.9645943005142
x24 = 94.2477796076938
x25 = -36.6519142918809
x26 = -96.342174710087
x27 = 29.3215314335047
x28 = 12.5663706143592
x29 = -8.37758040957278
x30 = 53.4070751110265
x31 = -21.9911485751286
x32 = -15.707963267949
x33 = -69.1150383789755
x34 = 54.4542726622231
x35 = -59.6902604182061
x36 = 28.2743338823081
x37 = -75.398223686155
x38 = -55.5014702134197
x39 = -9.42477796076938
x40 = -68.0678408277789
x41 = 70.162235930172
x42 = 48.1710873550435
x43 = -11.5191730631626
x44 = -65.9734457253857
x45 = 219.911485751286
x46 = -91.106186954104
x47 = -46.0766922526503
x48 = 15.707963267949
x49 = -898.495498926681
x50 = -47.1238898038469
x51 = 79.5870138909414
x52 = 56.5486677646163
x53 = 34.5575191894877
x54 = 63.8790506229925
x55 = 76.4454212373516
x56 = -17.8023583703422
x57 = 72.2566310325652
x58 = 0.0
x59 = 57.5958653158129
x60 = 41.8879020478639
x61 = 10.471975511966
x62 = 7.33038285837618
x63 = 43.9822971502571
x64 = -25.1327412287183
x65 = -97.3893722612836
x66 = -2.0943951023932
x67 = -74.3510261349584
x68 = 87.9645943005142
x69 = 98.4365698124802
x70 = 85.870199198121
x71 = 59.6902604182061
x72 = -72.2566310325652
x73 = -37.6991118430775
x74 = -14927.8010923075
x75 = -28.2743338823081
x76 = -80.634211442138
x77 = 19.8967534727354
x78 = -94.2477796076938
x79 = 37.6991118430775
x80 = 32.4631240870945
x81 = -3.14159265358979
x82 = -50.2654824574367
x83 = 81.6814089933346
x84 = -30.3687289847013
x85 = 84.8230016469244
x86 = -39.7935069454707
x87 = 50.2654824574367
x88 = -6.28318530717959
x89 = 62.8318530717959
x90 = -24.0855436775217
x91 = 6.28318530717959
x92 = -146.607657167524
x93 = -90.0589894029074
x94 = -83.7758040957278
x95 = -61.7846555205993
x95 = -61.7846555205993
Gráfico
2*sin(x)^(2)-sqrt(3)*sin(2*x)=0 la ecuación