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sin(x)+1/2sin(x)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
         sin(x)    
sin(x) + ------ = 0
           2       
$$\frac{\sin{\left(x \right)}}{2} + \sin{\left(x \right)} = 0$$
Solución detallada
Tenemos la ecuación
$$\frac{\sin{\left(x \right)}}{2} + \sin{\left(x \right)} = 0$$
es la ecuación trigonométrica más simple
cambiando el signo de 0

Obtenemos:
$$\frac{\sin{\left(x \right)}}{2} + \sin{\left(x \right)} = 0$$
Dividamos ambos miembros de la ecuación en 3/2

La ecuación se convierte en
$$\sin{\left(x \right)} = 0$$
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(0 \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(0 \right)} + \pi$$
O
$$x = 2 \pi n$$
$$x = 2 \pi n + \pi$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
x2 = pi
$$x_{2} = \pi$$
x2 = pi
Suma y producto de raíces [src]
suma
pi
$$\pi$$
=
pi
$$\pi$$
producto
0*pi
$$0 \pi$$
=
0
$$0$$
0
Respuesta numérica [src]
x1 = -267.035375555132
x2 = 69.1150383789755
x3 = 65.9734457253857
x4 = -91.106186954104
x5 = -59.6902604182061
x6 = -21.9911485751286
x7 = 12.5663706143592
x8 = 21.9911485751286
x9 = -69.1150383789755
x10 = -100.530964914873
x11 = 3.14159265358979
x12 = -3.14159265358979
x13 = -25.1327412287183
x14 = -15.707963267949
x15 = -53.4070751110265
x16 = -72.2566310325652
x17 = -232.477856365645
x18 = 84.8230016469244
x19 = -81.6814089933346
x20 = -94.2477796076938
x21 = 18.8495559215388
x22 = -65.9734457253857
x23 = 94.2477796076938
x24 = 9.42477796076938
x25 = -40.8407044966673
x26 = 34.5575191894877
x27 = 0.0
x28 = 97.3893722612836
x29 = 53.4070751110265
x30 = -62.8318530717959
x31 = 59.6902604182061
x32 = -28.2743338823081
x33 = -56.5486677646163
x34 = 91.106186954104
x35 = 15.707963267949
x36 = -18.8495559215388
x37 = 6.28318530717959
x38 = 56.5486677646163
x39 = 87.9645943005142
x40 = 31.4159265358979
x41 = 25.1327412287183
x42 = 43.9822971502571
x43 = -47.1238898038469
x44 = 72.2566310325652
x45 = -34.5575191894877
x46 = 47.1238898038469
x47 = -97.3893722612836
x48 = -50.2654824574367
x49 = 100.530964914873
x50 = 81.6814089933346
x51 = -75.398223686155
x52 = 40.8407044966673
x53 = -9.42477796076938
x54 = 78.5398163397448
x55 = -87.9645943005142
x56 = 37.6991118430775
x57 = -78.5398163397448
x58 = -6.28318530717959
x59 = 50.2654824574367
x60 = -37.6991118430775
x61 = -43.9822971502571
x62 = -113.097335529233
x63 = 28.2743338823081
x64 = 62.8318530717959
x65 = -31.4159265358979
x66 = -12.5663706143592
x67 = 75.398223686155
x68 = -84.8230016469244
x68 = -84.8230016469244