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- La ecuación:
-
Ecuación x^2+5x=36
-
Ecuación 3*x=8
-
Ecuación (x-87)-27=36
- Ecuación (x^2-16)^2+(x^2+x-20)^2=0
- Expresar {x} en función de y en la ecuación:
- -17*x+2*y=9
- 10*x-15*y=16
- -17*x+2*y=-4
- -2*x-19*y=3
- Derivada de:
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cosx
- Integral de d{x}:
- cosx
- Gráfico de la función y =:
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cosx
-
Expresiones idénticas
- cosx=-√ tres : dos
- coseno de x es igual a menos √3:2
- coseno de x es igual a menos √ tres : dos
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Expresiones semejantes
- sin(x)+cos(x)=0,5
- cosx=+√3:2
- 8*cos(x)+sin(7*x)-16*x=x^3+8
- 3^sin(x)^(2)+3^cos(x)^(2)=4
- 6*cos(x)^(2)+5*sin(x)-7=0
- (cos(x)^4)*x+(sin(x)^4)*x=cos(4*x)
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Expresiones con funciones
- cosx
- cosx=p/2
- cosx=10
- cosx+Csinx=0
- cosx*10.6=(6.04*cosx)/sinx+0.9
- cosx=√2÷2
cosx=-√3:2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
___
-\/ 3
cos(x) = -------
2
$$\cos{\left(x \right)} = \frac{\left(-1\right) \sqrt{3}}{2}$$
Solución detallada
Tenemos la ecuación
$$\cos{\left(x \right)} = \frac{\left(-1\right) \sqrt{3}}{2}$$
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
$$\cos{\left(x \right)} = \frac{\left(-1\right) \sqrt{3}}{2}$$
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
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 = 60.2138591938044
x3 = 90.5825881785057
x4 = 71.733032256967
x5 = -60.2138591938044
x6 = -78.0162175641465
x7 = -8.90117918517108
x8 = -96.8657734856853
x9 = 91.6297857297023
x10 = 53.9306738866248
x11 = -72.7802298081635
x12 = -71.733032256967
x13 = 16.2315620435473
x14 = -40.317105721069
x15 = -21.4675497995303
x16 = 41.3643032722656
x17 = -9.94837673636768
x18 = -91.6297857297023
x19 = 192.160750644576
x20 = -97.9129710368819
x21 = 78.0162175641465
x22 = -16.2315620435473
x23 = 84.2994028713261
x24 = 203.679923707738
x25 = -15.1843644923507
x26 = 72.7802298081635
x27 = -22.5147473507269
x28 = 15.1843644923507
x29 = 22.5147473507269
x30 = 46.6002910282486
x31 = 79.0634151153431
x32 = -35.081117965086
x33 = -52.8834763354282
x34 = 40.317105721069
x35 = -34.0339204138894
x36 = 34.0339204138894
x37 = -3.66519142918809
x38 = -59.1666616426078
x39 = -46.6002910282486
x40 = 3.66519142918809
x41 = -27.7507351067098
x42 = 59.1666616426078
x43 = -65.4498469497874
x44 = 2.61799387799149
x45 = 35.081117965086
x46 = -47.6474885794452
x47 = 66.497044500984
x48 = -41.3643032722656
x49 = 65.4498469497874
x50 = -128.281700021583
x51 = 97.9129710368819
x52 = -90.5825881785057
x53 = 52.8834763354282
x54 = 85.3466004225227
x55 = 9.94837673636768
x56 = -66.497044500984
x57 = -4697.20461589234
x58 = 28.7979326579064
x59 = 216.246294322097
x60 = -28.7979326579064
x61 = -79.0634151153431
x62 = 96.8657734856853
x63 = -84.2994028713261
x64 = -857.131195654415
x65 = -85.3466004225227
x66 = 21.4675497995303
x67 = -2.61799387799149
x68 = 27.7507351067098
x69 = 47.6474885794452
x70 = -53.9306738866248
x70 = -53.9306738866248