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Sinx^2-√3*sinx*cosx=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
   2        ___                  
sin (x) - \/ 3 *sin(x)*cos(x) = 0
$$- \sqrt{3} \sin{\left(x \right)} \cos{\left(x \right)} + \sin^{2}{\left(x \right)} = 0$$
Gráfica
Suma y producto de raíces [src]
suma
  2*pi   pi
- ---- + --
   3     3 
$$- \frac{2 \pi}{3} + \frac{\pi}{3}$$
=
-pi 
----
 3  
$$- \frac{\pi}{3}$$
producto
  -2*pi pi
0*-----*--
    3   3 
$$\frac{\pi}{3} \cdot 0 \left(- \frac{2 \pi}{3}\right)$$
=
0
$$0$$
0
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
     -2*pi
x2 = -----
       3  
$$x_{2} = - \frac{2 \pi}{3}$$
     pi
x3 = --
     3 
$$x_{3} = \frac{\pi}{3}$$
x3 = pi/3
Respuesta numérica [src]
x1 = -83.7758040957278
x2 = -15.707963267949
x3 = 76.4454212373516
x4 = -31.4159265358979
x5 = 32.4631240870945
x6 = 84.8230016469244
x7 = 21.9911485751286
x8 = 0.0
x9 = -21.9911485751286
x10 = 4.18879020478639
x11 = 28.2743338823081
x12 = -96.342174710087
x13 = 72.2566310325652
x14 = -94.2477796076938
x15 = -25.1327412287183
x16 = 87.9645943005142
x17 = -50.2654824574367
x18 = -55.5014702134197
x19 = -43.9822971502571
x20 = -39.7935069454707
x21 = -97.3893722612836
x22 = 50.2654824574367
x23 = 59.6902604182061
x24 = -61.7846555205993
x25 = -8.37758040957278
x26 = -91.106186954104
x27 = -53.4070751110265
x28 = 79.5870138909414
x29 = 12.5663706143592
x30 = -81.6814089933346
x31 = 94.2477796076938
x32 = -58.6430628670095
x33 = 81.6814089933346
x34 = 35.6047167406843
x35 = -30.3687289847013
x36 = 54.4542726622231
x37 = 219.911485751286
x38 = 85.870199198121
x39 = 53.4070751110265
x40 = -28.2743338823081
x41 = -24.0855436775217
x42 = 101.57816246607
x43 = -72.2566310325652
x44 = -68.0678408277789
x45 = -36.6519142918809
x46 = -80.634211442138
x47 = 37.6991118430775
x48 = -11.5191730631626
x49 = 65.9734457253857
x50 = -52.3598775598299
x51 = -17.8023583703422
x52 = -146.607657167524
x53 = 7.33038285837618
x54 = -87.9645943005142
x55 = 40.8407044966673
x56 = 92.1533845053006
x57 = 62.8318530717959
x58 = 29.3215314335047
x59 = 78.5398163397448
x60 = -6.28318530717959
x61 = 15.707963267949
x62 = 13.6135681655558
x63 = -2.0943951023932
x64 = -3.14159265358979
x65 = 56.5486677646163
x66 = -90.0589894029074
x67 = -69.1150383789755
x68 = 48.1710873550435
x69 = 41.8879020478639
x70 = -65.9734457253857
x71 = 10.471975511966
x72 = 43.9822971502571
x73 = 70.162235930172
x74 = -37.6991118430775
x75 = -59.6902604182061
x76 = -75.398223686155
x77 = 100.530964914873
x78 = 34.5575191894877
x79 = 6.28318530717959
x80 = -14.6607657167524
x81 = 98.4365698124802
x82 = 57.5958653158129
x83 = -47.1238898038469
x84 = 18.8495559215388
x85 = -99.4837673636768
x86 = 19.8967534727354
x87 = -9.42477796076938
x88 = -33.5103216382911
x89 = 63.8790506229925
x90 = -74.3510261349584
x91 = -46.0766922526503
x92 = 675.442420521806
x93 = 26.1799387799149
x94 = -77.4926187885482
x94 = -77.4926187885482