Sr Examen

Otras calculadoras

cos(x)=-(sqrt3/2) la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
            ___ 
         -\/ 3  
cos(x) = -------
            2   
cos(x)=32\cos{\left(x \right)} = - \frac{\sqrt{3}}{2}
Solución detallada
Tenemos la ecuación
cos(x)=32\cos{\left(x \right)} = - \frac{\sqrt{3}}{2}
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
x=πn+acos(32)x = \pi n + \operatorname{acos}{\left(- \frac{\sqrt{3}}{2} \right)}
x=πnπ+acos(32)x = \pi n - \pi + \operatorname{acos}{\left(- \frac{\sqrt{3}}{2} \right)}
O
x=πn+5π6x = \pi n + \frac{5 \pi}{6}
x=πnπ6x = \pi n - \frac{\pi}{6}
, donde n es cualquier número entero
Gráfica
0-80-60-40-2020406080-1001002-2
Suma y producto de raíces [src]
suma
5*pi   7*pi
---- + ----
 6      6  
5π6+7π6\frac{5 \pi}{6} + \frac{7 \pi}{6}
=
2*pi
2π2 \pi
producto
5*pi 7*pi
----*----
 6    6  
5π67π6\frac{5 \pi}{6} \frac{7 \pi}{6}
=
     2
35*pi 
------
  36  
35π236\frac{35 \pi^{2}}{36}
35*pi^2/36
Respuesta rápida [src]
     5*pi
x1 = ----
      6  
x1=5π6x_{1} = \frac{5 \pi}{6}
     7*pi
x2 = ----
      6  
x2=7π6x_{2} = \frac{7 \pi}{6}
x2 = 7*pi/6
Respuesta numérica [src]
x1 = -52.8834763354282
x2 = 71.733032256967
x3 = 78.0162175641465
x4 = -90.5825881785057
x5 = -21.4675497995303
x6 = -79.0634151153431
x7 = 22.5147473507269
x8 = -60.2138591938044
x9 = -96.8657734856853
x10 = 41.3643032722656
x11 = 203.679923707738
x12 = -53.9306738866248
x13 = -97.9129710368819
x14 = -72.7802298081635
x15 = -27.7507351067098
x16 = 90.5825881785057
x17 = 28.7979326579064
x18 = 59.1666616426078
x19 = 84.2994028713261
x20 = 60.2138591938044
x21 = -2.61799387799149
x22 = 216.246294322097
x23 = 3.66519142918809
x24 = -84.2994028713261
x25 = -71.733032256967
x26 = -128.281700021583
x27 = -16.2315620435473
x28 = -22.5147473507269
x29 = 85.3466004225227
x30 = 53.9306738866248
x31 = 192.160750644576
x32 = 40.317105721069
x33 = -28.7979326579064
x34 = -41.3643032722656
x35 = 66.497044500984
x36 = -78.0162175641465
x37 = 47.6474885794452
x38 = -34.0339204138894
x39 = -85.3466004225227
x40 = 91.6297857297023
x41 = -47.6474885794452
x42 = -9.94837673636768
x43 = -91.6297857297023
x44 = -59.1666616426078
x45 = 79.0634151153431
x46 = 16.2315620435473
x47 = 46.6002910282486
x48 = -8.90117918517108
x49 = 96.8657734856853
x50 = 34.0339204138894
x51 = -3.66519142918809
x52 = -46.6002910282486
x53 = 97.9129710368819
x54 = -66.497044500984
x55 = -15.1843644923507
x56 = 9.94837673636768
x57 = -35.081117965086
x58 = 52.8834763354282
x59 = -857.131195654415
x60 = 35.081117965086
x61 = 72.7802298081635
x62 = 2.61799387799149
x63 = 21.4675497995303
x64 = 8.90117918517108
x65 = 65.4498469497874
x66 = -65.4498469497874
x67 = 27.7507351067098
x68 = 15.1843644923507
x69 = -40.317105721069
x70 = -4697.20461589234
x70 = -4697.20461589234