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cos(x+2) la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

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

Obtenemos:
$$\cos{\left(x + 2 \right)} = 0$$
Esta ecuación se reorganiza en
$$x + 2 = \pi n + \operatorname{acos}{\left(0 \right)}$$
$$x + 2 = \pi n - \pi + \operatorname{acos}{\left(0 \right)}$$
O
$$x + 2 = \pi n + \frac{\pi}{2}$$
$$x + 2 = \pi n - \frac{\pi}{2}$$
, donde n es cualquier número entero
Transportemos
$$2$$
al miembro derecho de la ecuación
con el signo opuesto, en total:
$$x = \pi n - 2 + \frac{\pi}{2}$$
$$x = \pi n - 2 - \frac{\pi}{2}$$
Gráfica
Respuesta rápida [src]
          pi
x1 = -2 + --
          2 
$$x_{1} = -2 + \frac{\pi}{2}$$
          3*pi
x2 = -2 + ----
           2  
$$x_{2} = -2 + \frac{3 \pi}{2}$$
x2 = -2 + 3*pi/2
Suma y producto de raíces [src]
suma
     pi        3*pi
-2 + -- + -2 + ----
     2          2  
$$\left(-2 + \frac{\pi}{2}\right) + \left(-2 + \frac{3 \pi}{2}\right)$$
=
-4 + 2*pi
$$-4 + 2 \pi$$
producto
/     pi\ /     3*pi\
|-2 + --|*|-2 + ----|
\     2 / \      2  /
$$\left(-2 + \frac{\pi}{2}\right) \left(-2 + \frac{3 \pi}{2}\right)$$
=
(4 - pi)*(4 - 3*pi)
-------------------
         4         
$$\frac{\left(4 - 3 \pi\right) \left(4 - \pi\right)}{4}$$
(4 - pi)*(4 - 3*pi)/4
Respuesta numérica [src]
x1 = 68.6858347057703
x2 = 21.5619449019235
x3 = 93.8185759344887
x4 = -2268.65909956504
x5 = 40.4115008234622
x6 = -91.5353906273091
x7 = 43.553093477052
x8 = -12.9955742875643
x9 = 71.8274273593601
x10 = -389.986692718339
x11 = -85.2522053201295
x12 = 96.9601685880785
x13 = 5.85398163397448
x14 = -31.845130209103
x15 = -38.1283155162826
x16 = 18.4203522483337
x17 = -6.71238898038469
x18 = -97.8185759344887
x19 = -56.9778714378214
x20 = 2.71238898038469
x21 = 90.6769832808989
x22 = -88.3937979737193
x23 = 46.6946861306418
x24 = -170.075206967054
x25 = 49.8362787842316
x26 = 24.7035375555132
x27 = 56.1194640914112
x28 = 8.99557428756428
x29 = 65.5442420521806
x30 = 74.9690200129499
x31 = 100.101761241668
x32 = 84.3937979737193
x33 = -16.1371669411541
x34 = -100.960168588078
x35 = -34.9867228626928
x36 = 87.5353906273091
x37 = -60.1194640914112
x38 = 15.2787595947439
x39 = -19.2787595947439
x40 = 37.2699081698724
x41 = -75.8274273593601
x42 = 62.4026493985908
x43 = -94.6769832808989
x44 = -9.85398163397448
x45 = -50.6946861306418
x46 = 27.845130209103
x47 = 12.1371669411541
x48 = -41.2699081698724
x49 = 81.2522053201295
x50 = 59.261056745001
x51 = -82.1106126665397
x52 = -28.7035375555132
x53 = 30.9867228626928
x54 = -53.8362787842316
x55 = -63.261056745001
x56 = -22.4203522483337
x57 = 52.9778714378214
x58 = 78.1106126665397
x59 = -25.5619449019235
x60 = -72.6858347057703
x61 = -3.5707963267949
x62 = 34.1283155162826
x63 = -47.553093477052
x64 = -44.4115008234622
x65 = -69.5442420521806
x66 = -78.9690200129499
x67 = -0.429203673205103
x68 = -66.4026493985908
x68 = -66.4026493985908