Sr Examen

cos(x)=cos(4) la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
cos(x) = cos(4)
$$\cos{\left(x \right)} = \cos{\left(4 \right)}$$
Solución detallada
Tenemos la ecuación
$$\cos{\left(x \right)} = \cos{\left(4 \right)}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{acos}{\left(\cos{\left(4 \right)} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(\cos{\left(4 \right)} \right)}$$
O
$$x = \pi n - 4 + 2 \pi$$
$$x = \pi n - 4 + \pi$$
, donde n es cualquier número entero
Gráfica
Suma y producto de raíces [src]
suma
4 + -4 + 2*pi
$$\left(-4 + 2 \pi\right) + 4$$
=
2*pi
$$2 \pi$$
producto
4*(-4 + 2*pi)
$$4 \left(-4 + 2 \pi\right)$$
=
-16 + 8*pi
$$-16 + 8 \pi$$
-16 + 8*pi
Respuesta rápida [src]
x1 = 4
$$x_{1} = 4$$
x2 = -4 + 2*pi
$$x_{2} = -4 + 2 \pi$$
x2 = -4 + 2*pi
Respuesta numérica [src]
x1 = -58.8318530717959
x2 = 29.1327412287183
x3 = -52.5486677646163
x4 = -66.8318530717959
x5 = 27.4159265358979
x6 = 83.9645943005142
x7 = 22.8495559215388
x8 = 90.2477796076938
x9 = 10.2831853071796
x10 = -27.4159265358979
x11 = 77.6814089933346
x12 = -77.6814089933346
x13 = 85.6814089933346
x14 = -41.6991118430775
x15 = -83.9645943005142
x16 = -90.2477796076938
x17 = -2.28318530717959
x18 = 65.1150383789755
x19 = 71.398223686155
x20 = -14.8495559215388
x21 = -60.5486677646163
x22 = 46.2654824574367
x23 = 14.8495559215388
x24 = 35.4159265358979
x25 = 4.0
x26 = 52.5486677646163
x27 = 58.8318530717959
x28 = -79.398223686155
x29 = -16.5663706143592
x30 = -21.1327412287183
x31 = 79.398223686155
x32 = 41.6991118430775
x33 = -96.5309649148734
x34 = 16.5663706143592
x35 = 21.1327412287183
x36 = -65.1150383789755
x37 = 54.2654824574367
x38 = -46.2654824574367
x39 = 39.9822971502571
x40 = -47.9822971502571
x41 = -39.9822971502571
x42 = -35.4159265358979
x43 = 8.56637061435917
x44 = 60.5486677646163
x45 = -85.6814089933346
x46 = -29.1327412287183
x47 = -22.8495559215388
x48 = 98.2477796076938
x49 = 73.1150383789755
x50 = -73.1150383789755
x51 = -91.9645943005142
x52 = -54.2654824574367
x53 = -8.56637061435917
x54 = 2.28318530717959
x55 = 91.9645943005142
x56 = -10.2831853071796
x57 = 96.5309649148734
x58 = -98.2477796076938
x59 = 66.8318530717959
x60 = 47.9822971502571
x61 = -4.0
x62 = -71.398223686155
x63 = -33.6991118430775
x64 = 33.6991118430775
x64 = 33.6991118430775