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cos(x+pi/3)=0

cos(x+pi/3)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
   /    pi\    
cos|x + --| = 0
   \    3 /    
$$\cos{\left(x + \frac{\pi}{3} \right)} = 0$$
Solución detallada
Tenemos la ecuación
$$\cos{\left(x + \frac{\pi}{3} \right)} = 0$$
es la ecuación trigonométrica más simple
cambiando el signo de 0

Obtenemos:
$$\cos{\left(x + \frac{\pi}{3} \right)} = 0$$
Esta ecuación se reorganiza en
$$x + \frac{\pi}{3} = \pi n + \operatorname{acos}{\left(0 \right)}$$
$$x + \frac{\pi}{3} = \pi n - \pi + \operatorname{acos}{\left(0 \right)}$$
O
$$x + \frac{\pi}{3} = \pi n + \frac{\pi}{2}$$
$$x + \frac{\pi}{3} = \pi n - \frac{\pi}{2}$$
, donde n es cualquier número entero
Transportemos
$$\frac{\pi}{3}$$
al miembro derecho de la ecuación
con el signo opuesto, en total:
$$x = \pi n + \frac{\pi}{6}$$
$$x = \pi n - \frac{5 \pi}{6}$$
Gráfica
Suma y producto de raíces [src]
suma
pi   7*pi
-- + ----
6     6  
$$\frac{\pi}{6} + \frac{7 \pi}{6}$$
=
4*pi
----
 3  
$$\frac{4 \pi}{3}$$
producto
pi 7*pi
--*----
6   6  
$$\frac{\pi}{6} \frac{7 \pi}{6}$$
=
    2
7*pi 
-----
  36 
$$\frac{7 \pi^{2}}{36}$$
7*pi^2/36
Respuesta rápida [src]
     pi
x1 = --
     6 
$$x_{1} = \frac{\pi}{6}$$
     7*pi
x2 = ----
      6  
$$x_{2} = \frac{7 \pi}{6}$$
x2 = 7*pi/6
Respuesta numérica [src]
x1 = -8.90117918517108
x2 = -49.7418836818384
x3 = -15.1843644923507
x4 = -81.1578102177363
x5 = 66.497044500984
x6 = 38.2227106186758
x7 = -74.8746249105567
x8 = 88.4881930761125
x9 = 31.9395253114962
x10 = 47.6474885794452
x11 = 44.5058959258554
x12 = -78.0162175641465
x13 = -52.8834763354282
x14 = -5.75958653158129
x15 = 13.0899693899575
x16 = -93.7241808320955
x17 = 101.054563690472
x18 = 28.7979326579064
x19 = 97.9129710368819
x20 = -68.5914396033772
x21 = -90.5825881785057
x22 = 927.293431584587
x23 = -46.6002910282486
x24 = 119.90411961201
x25 = -56.025068989018
x26 = -24.60914245312
x27 = -30.8923277602996
x28 = 94.7713783832921
x29 = -2509.60893144265
x30 = -27.7507351067098
x31 = -34.0339204138894
x32 = 69.6386371545737
x33 = -43.4586983746588
x34 = 79.0634151153431
x35 = 91.6297857297023
x36 = -65.4498469497874
x37 = 72.7802298081635
x38 = 63.3554518473942
x39 = 19.3731546971371
x40 = 60.2138591938044
x41 = -18.3259571459405
x42 = 53.9306738866248
x43 = -71.733032256967
x44 = -62.3082542961976
x45 = 3.66519142918809
x46 = 22.5147473507269
x47 = 25.6563400043166
x48 = -84.2994028713261
x49 = 6.80678408277789
x50 = 50.789081233035
x51 = -87.4409955249159
x52 = -40.317105721069
x53 = 16.2315620435473
x54 = -96.8657734856853
x55 = -100.007366139275
x56 = 85.3466004225227
x57 = -12.0427718387609
x58 = 82.2050077689329
x59 = -21.4675497995303
x60 = 57.0722665402146
x61 = -59.1666616426078
x62 = 41.3643032722656
x63 = 35.081117965086
x64 = -37.1755130674792
x65 = 0.523598775598299
x66 = 9.94837673636768
x67 = -2.61799387799149
x68 = 75.9218224617533
x68 = 75.9218224617533
Gráfico
cos(x+pi/3)=0 la ecuación