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cos(x)=-(sqrt(3)/2)

cos(x)=-(sqrt(3)/2) la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
            ___ 
         -\/ 3  
cos(x) = -------
            2   
$$\cos{\left(x \right)} = - \frac{\sqrt{3}}{2}$$
Solución detallada
Tenemos la ecuación
$$\cos{\left(x \right)} = - \frac{\sqrt{3}}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{acos}{\left(- \frac{\sqrt{3}}{2} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(- \frac{\sqrt{3}}{2} \right)}$$
O
$$x = \pi n + \frac{5 \pi}{6}$$
$$x = \pi n - \frac{\pi}{6}$$
, donde n es cualquier número entero
Gráfica
Suma y producto de raíces [src]
suma
5*pi   7*pi
---- + ----
 6      6  
$$\frac{5 \pi}{6} + \frac{7 \pi}{6}$$
=
2*pi
$$2 \pi$$
producto
5*pi 7*pi
----*----
 6    6  
$$\frac{5 \pi}{6} \frac{7 \pi}{6}$$
=
     2
35*pi 
------
  36  
$$\frac{35 \pi^{2}}{36}$$
35*pi^2/36
Respuesta rápida [src]
     5*pi
x1 = ----
      6  
$$x_{1} = \frac{5 \pi}{6}$$
     7*pi
x2 = ----
      6  
$$x_{2} = \frac{7 \pi}{6}$$
x2 = 7*pi/6
Respuesta numérica [src]
x1 = -8.90117918517108
x2 = -857.131195654415
x3 = -3.66519142918809
x4 = 90.5825881785057
x5 = -15.1843644923507
x6 = 66.497044500984
x7 = 192.160750644576
x8 = -128.281700021583
x9 = 47.6474885794452
x10 = 27.7507351067098
x11 = -52.8834763354282
x12 = -78.0162175641465
x13 = 15.1843644923507
x14 = 28.7979326579064
x15 = -35.081117965086
x16 = -28.7979326579064
x17 = -91.6297857297023
x18 = -72.7802298081635
x19 = 97.9129710368819
x20 = -90.5825881785057
x21 = 96.8657734856853
x22 = -9.94837673636768
x23 = -46.6002910282486
x24 = 34.0339204138894
x25 = 65.4498469497874
x26 = -66.497044500984
x27 = -16.2315620435473
x28 = -27.7507351067098
x29 = -34.0339204138894
x30 = 79.0634151153431
x31 = 91.6297857297023
x32 = -65.4498469497874
x33 = 8.90117918517108
x34 = 52.8834763354282
x35 = 60.2138591938044
x36 = -71.733032256967
x37 = 72.7802298081635
x38 = 53.9306738866248
x39 = 2.61799387799149
x40 = 21.4675497995303
x41 = -41.3643032722656
x42 = 3.66519142918809
x43 = 22.5147473507269
x44 = 216.246294322097
x45 = -84.2994028713261
x46 = -85.3466004225227
x47 = -97.9129710368819
x48 = -40.317105721069
x49 = 84.2994028713261
x50 = -53.9306738866248
x51 = 16.2315620435473
x52 = -22.5147473507269
x53 = -60.2138591938044
x54 = -96.8657734856853
x55 = 203.679923707738
x56 = 46.6002910282486
x57 = 40.317105721069
x58 = 85.3466004225227
x59 = 78.0162175641465
x60 = -21.4675497995303
x61 = -47.6474885794452
x62 = 59.1666616426078
x63 = -59.1666616426078
x64 = 41.3643032722656
x65 = -4697.20461589234
x66 = 71.733032256967
x67 = 35.081117965086
x68 = 9.94837673636768
x69 = -2.61799387799149
x70 = -79.0634151153431
x70 = -79.0634151153431
Gráfico
cos(x)=-(sqrt(3)/2) la ecuación