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sin(x)=sin(3)

sin(x)=sin(3) la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
sin(x) = sin(3)
$$\sin{\left(x \right)} = \sin{\left(3 \right)}$$
Solución detallada
Tenemos la ecuación
$$\sin{\left(x \right)} = \sin{\left(3 \right)}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\sin{\left(3 \right)} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\sin{\left(3 \right)} \right)} + \pi$$
O
$$x = 2 \pi n - 3 + \pi$$
$$x = 2 \pi n + 3$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
x1 = 3
$$x_{1} = 3$$
x2 = -3 + pi
$$x_{2} = -3 + \pi$$
x2 = -3 + pi
Suma y producto de raíces [src]
suma
3 + -3 + pi
$$\left(-3 + \pi\right) + 3$$
=
pi
$$\pi$$
producto
3*(-3 + pi)
$$3 \left(-3 + \pi\right)$$
=
-9 + 3*pi
$$-9 + 3 \pi$$
-9 + 3*pi
Respuesta numérica [src]
x1 = 28.1327412287183
x2 = 65.8318530717959
x3 = -12.4247779607694
x4 = -47.2654824574367
x5 = -81.5398163397448
x6 = -100.389372261284
x7 = 25.2743338823081
x8 = 62.9734457253857
x9 = -37.5575191894877
x10 = -53.5486677646163
x11 = -62.6902604182061
x12 = -131.805298797182
x13 = -97.5309649148734
x14 = -28.4159265358979
x15 = -87.8230016469244
x16 = -56.4070751110265
x17 = 84.6814089933346
x18 = 9.28318530717959
x19 = -3.28318530717959
x20 = 50.4070751110265
x21 = 31.5575191894877
x22 = -31.2743338823081
x23 = 44.1238898038469
x24 = -34.6991118430775
x25 = -66.1150383789755
x26 = -15.8495559215388
x27 = 97.2477796076938
x28 = 53.2654824574367
x29 = -91.2477796076938
x30 = -75.2566310325652
x31 = 6.42477796076938
x32 = 69.2566310325652
x33 = -72.398223686155
x34 = 59.5486677646163
x35 = -59.8318530717959
x36 = -78.6814089933346
x37 = -103.814150222053
x38 = 40.6991118430775
x39 = 56.6902604182061
x40 = 37.8407044966673
x41 = 33115.3865688364
x42 = -50.1238898038469
x43 = 15.5663706143592
x44 = -119.238928182822
x45 = -94.106186954104
x46 = 75.5398163397448
x47 = 12.707963267949
x48 = -154.07963267949
x49 = -22.1327412287183
x50 = 78.398223686155
x51 = -40.9822971502571
x52 = -84.9645943005142
x53 = 18.9911485751286
x54 = 90.9645943005142
x55 = 100.672557568463
x56 = -18.707963267949
x57 = -9.56637061435917
x58 = 81.8230016469244
x59 = -68.9734457253857
x60 = 94.3893722612836
x61 = 46.9822971502571
x62 = -6.14159265358979
x63 = 88.106186954104
x64 = 3.0
x65 = 72.1150383789755
x66 = 21.8495559215388
x67 = -24.9911485751286
x68 = -43.8407044966673
x69 = 34.4159265358979
x70 = 0.141592653589793
x70 = 0.141592653589793
Gráfico
sin(x)=sin(3) la ecuación