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sin(x+1)=0

sin(x+1)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
sin(x + 1) = 0
$$\sin{\left(x + 1 \right)} = 0$$
Solución detallada
Tenemos la ecuación
$$\sin{\left(x + 1 \right)} = 0$$
es la ecuación trigonométrica más simple
cambiando el signo de 0

Obtenemos:
$$\sin{\left(x + 1 \right)} = 0$$
Esta ecuación se reorganiza en
$$x + 1 = 2 \pi n + \operatorname{asin}{\left(0 \right)}$$
$$x + 1 = 2 \pi n - \operatorname{asin}{\left(0 \right)} + \pi$$
O
$$x + 1 = 2 \pi n$$
$$x + 1 = 2 \pi n + \pi$$
, donde n es cualquier número entero
Transportemos
$$1$$
al miembro derecho de la ecuación
con el signo opuesto, en total:
$$x = 2 \pi n - 1$$
$$x = 2 \pi n - 1 + \pi$$
Gráfica
Suma y producto de raíces [src]
suma
-1 + -1 + pi
$$-1 + \left(-1 + \pi\right)$$
=
-2 + pi
$$-2 + \pi$$
producto
-(-1 + pi)
$$- (-1 + \pi)$$
=
1 - pi
$$1 - \pi$$
1 - pi
Respuesta rápida [src]
x1 = -1
$$x_{1} = -1$$
x2 = -1 + pi
$$x_{2} = -1 + \pi$$
x2 = -1 + pi
Respuesta numérica [src]
x1 = -7.28318530717959
x2 = -41.8407044966673
x3 = -10.4247779607694
x4 = -32.4159265358979
x5 = -98.3893722612836
x6 = -66.9734457253857
x7 = -1.0
x8 = 61.8318530717959
x9 = 58.6902604182061
x10 = 96.3893722612836
x11 = -13.5663706143592
x12 = -126.663706143592
x13 = -54.4070751110265
x14 = 64.9734457253857
x15 = -19.8495559215388
x16 = 77.5398163397448
x17 = 30.4159265358979
x18 = 8.42477796076938
x19 = -553.920307031804
x20 = 27.2743338823081
x21 = 42.9822971502571
x22 = 2.14159265358979
x23 = 90.106186954104
x24 = -38.6991118430775
x25 = -44.9822971502571
x26 = -70.1150383789755
x27 = -57.5486677646163
x28 = 68.1150383789755
x29 = -22.9911485751286
x30 = 11.5663706143592
x31 = -48.1238898038469
x32 = 93.2477796076938
x33 = 39.8407044966673
x34 = 74.398223686155
x35 = -76.398223686155
x36 = 71.2566310325652
x37 = -117.238928182822
x38 = -79.5398163397448
x39 = -35.5575191894877
x40 = -29.2743338823081
x41 = 52.4070751110265
x42 = -60.6902604182061
x43 = -104.672557568463
x44 = 20.9911485751286
x45 = 24.1327412287183
x46 = -4.14159265358979
x47 = 86.9645943005142
x48 = -95.2477796076938
x49 = -85.8230016469244
x50 = 5.28318530717959
x51 = 17.8495559215388
x52 = 49.2654824574367
x53 = 1227.36272755361
x54 = 55.5486677646163
x55 = -73.2566310325652
x56 = -88.9645943005142
x57 = -51.2654824574367
x58 = 33.5575191894877
x59 = -26.1327412287183
x60 = 46.1238898038469
x61 = -82.6814089933346
x62 = -101.530964914873
x63 = 14.707963267949
x64 = -63.8318530717959
x65 = -16.707963267949
x66 = 99.5309649148734
x67 = 80.6814089933346
x68 = 83.8230016469244
x69 = 36.6991118430775
x70 = -92.106186954104
x70 = -92.106186954104
Gráfico
sin(x+1)=0 la ecuación