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cos(x)=-2/3

cos(x)=-2/3 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
cos(x) = -2/3
$$\cos{\left(x \right)} = - \frac{2}{3}$$
Solución detallada
Tenemos la ecuación
$$\cos{\left(x \right)} = - \frac{2}{3}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{acos}{\left(- \frac{2}{3} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(- \frac{2}{3} \right)}$$
O
$$x = \pi n + \operatorname{acos}{\left(- \frac{2}{3} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(- \frac{2}{3} \right)}$$
, donde n es cualquier número entero
Gráfica
Suma y producto de raíces [src]
suma
-acos(-2/3) + 2*pi + acos(-2/3)
$$\operatorname{acos}{\left(- \frac{2}{3} \right)} + \left(- \operatorname{acos}{\left(- \frac{2}{3} \right)} + 2 \pi\right)$$
=
2*pi
$$2 \pi$$
producto
(-acos(-2/3) + 2*pi)*acos(-2/3)
$$\left(- \operatorname{acos}{\left(- \frac{2}{3} \right)} + 2 \pi\right) \operatorname{acos}{\left(- \frac{2}{3} \right)}$$
=
(-acos(-2/3) + 2*pi)*acos(-2/3)
$$\left(- \operatorname{acos}{\left(- \frac{2}{3} \right)} + 2 \pi\right) \operatorname{acos}{\left(- \frac{2}{3} \right)}$$
(-acos(-2/3) + 2*pi)*acos(-2/3)
Respuesta rápida [src]
x1 = -acos(-2/3) + 2*pi
$$x_{1} = - \operatorname{acos}{\left(- \frac{2}{3} \right)} + 2 \pi$$
x2 = acos(-2/3)
$$x_{2} = \operatorname{acos}{\left(- \frac{2}{3} \right)}$$
x2 = acos(-2/3)
Respuesta numérica [src]
x1 = 79.3808850103128
x2 = -98.2304409318515
x3 = -21.1500799045606
x4 = 27.4332652117402
x5 = 54.2481437815944
x6 = -71.4155623619973
x7 = -73.0976997031332
x8 = -47.9649584744148
x9 = 29.1154025528761
x10 = 71.4155623619973
x11 = 39.9996358260994
x12 = -52.5660064404586
x13 = 65.1323770548177
x14 = 66.8145143959536
x15 = -65.1323770548177
x16 = -29.1154025528761
x17 = 33.7164505189198
x18 = -22.8322172456965
x19 = -79.3808850103128
x20 = 52.5660064404586
x21 = -8.58370929020145
x22 = -41.6817731672352
x23 = 35.3985878600557
x24 = 605.486313472262
x25 = 14.866894597381
x26 = 60.531329088774
x27 = 41.6817731672352
x28 = 21.1500799045606
x29 = -83.9819329763565
x30 = 47.9649584744148
x31 = -35.3985878600557
x32 = -58.8491917476381
x33 = -27.4332652117402
x34 = -85.6640703174923
x35 = 10.2658466313373
x36 = -90.2651182835361
x37 = 22.8322172456965
x38 = -16.5490319385169
x39 = -3.98266132415772
x40 = 83.9819329763565
x41 = 16.5490319385169
x42 = 77.6987476691769
x43 = 2.30052398302186
x44 = 58.8491917476381
x45 = 3.98266132415772
x46 = -14.866894597381
x47 = -33.7164505189198
x48 = -66.8145143959536
x49 = 85.6640703174923
x50 = -2.30052398302186
x51 = 73.0976997031332
x52 = -77.6987476691769
x53 = -10.2658466313373
x54 = -46.282821133279
x55 = -39.9996358260994
x56 = 98.2304409318515
x57 = 91.9472556246719
x58 = -96.5483035907157
x59 = -54.2481437815944
x60 = 96.5483035907157
x61 = 46.282821133279
x62 = -91.9472556246719
x63 = 90.2651182835361
x64 = -60.531329088774
x65 = 8.58370929020145
x65 = 8.58370929020145
Gráfico
cos(x)=-2/3 la ecuación