Sr Examen

Otras calculadoras


cos(x)=-3/4

cos(x)=-3/4 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]
cos(x) = -3/4
$$\cos{\left(x \right)} = - \frac{3}{4}$$
Solución detallada
Tenemos la ecuación
$$\cos{\left(x \right)} = - \frac{3}{4}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{acos}{\left(- \frac{3}{4} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(- \frac{3}{4} \right)}$$
O
$$x = \pi n + \operatorname{acos}{\left(- \frac{3}{4} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(- \frac{3}{4} \right)}$$
, donde n es cualquier número entero
Gráfica
Suma y producto de raíces [src]
suma
-acos(-3/4) + 2*pi + acos(-3/4)
$$\operatorname{acos}{\left(- \frac{3}{4} \right)} + \left(- \operatorname{acos}{\left(- \frac{3}{4} \right)} + 2 \pi\right)$$
=
2*pi
$$2 \pi$$
producto
(-acos(-3/4) + 2*pi)*acos(-3/4)
$$\left(- \operatorname{acos}{\left(- \frac{3}{4} \right)} + 2 \pi\right) \operatorname{acos}{\left(- \frac{3}{4} \right)}$$
=
(-acos(-3/4) + 2*pi)*acos(-3/4)
$$\left(- \operatorname{acos}{\left(- \frac{3}{4} \right)} + 2 \pi\right) \operatorname{acos}{\left(- \frac{3}{4} \right)}$$
(-acos(-3/4) + 2*pi)*acos(-3/4)
Respuesta rápida [src]
x1 = -acos(-3/4) + 2*pi
$$x_{1} = - \operatorname{acos}{\left(- \frac{3}{4} \right)} + 2 \pi$$
x2 = acos(-3/4)
$$x_{2} = \operatorname{acos}{\left(- \frac{3}{4} \right)}$$
x2 = acos(-3/4)
Respuesta numérica [src]
x1 = -60.4129946660195
x2 = 22.713882822942
x3 = 47.8466240516603
x4 = -84.100267399111
x5 = -16.4306975157624
x6 = 2.41885840577638
x7 = -66.6961799731991
x8 = 21.2684143273151
x9 = 41.5634387444807
x10 = 72.9793652803787
x11 = -40.1179702488539
x12 = 385.693162143731
x13 = -71.5338967847518
x14 = -41.5634387444807
x15 = -65.2507114775722
x16 = 66.6961799731991
x17 = 3.86432690140321
x18 = -90.3834527062906
x19 = 60.4129946660195
x20 = -98.112106509097
x21 = 10.1475122085828
x22 = 33.8347849416743
x23 = -3.86432690140321
x24 = 84.100267399111
x25 = -22.713882822942
x26 = -79.2625505875583
x27 = -46.4011555560335
x28 = 105094.976306292
x29 = 58.9675261703927
x30 = 79.2625505875583
x31 = -8.70204371295596
x32 = 35.2802534373011
x33 = 123.244847737815
x34 = 28.9970681301216
x35 = -72.9793652803787
x36 = -54.1298093588399
x37 = -21.2684143273151
x38 = -91.8289212019174
x39 = -2.41885840577638
x40 = -85.5457358947378
x41 = 91.8289212019174
x42 = 65.2507114775722
x43 = -28.9970681301216
x44 = 77.8170820919314
x45 = -33.8347849416743
x46 = 8.70204371295596
x47 = -47.8466240516603
x48 = -27.5515996344947
x49 = 27.5515996344947
x50 = 71.5338967847518
x51 = 98.112106509097
x52 = 46.4011555560335
x53 = 40.1179702488539
x54 = -14.9852290201356
x55 = 90.3834527062906
x56 = -35.2802534373011
x57 = -77.8170820919314
x58 = -52.6843408632131
x59 = 52.6843408632131
x60 = -58.9675261703927
x61 = 96.6666380134702
x62 = -96.6666380134702
x63 = -10.1475122085828
x64 = 54.1298093588399
x65 = 14.9852290201356
x66 = 16.4306975157624
x67 = 85.5457358947378
x67 = 85.5457358947378
Gráfico
cos(x)=-3/4 la ecuación