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cos(x)=-(3/8) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
cos(x) = -3/8
$$\cos{\left(x \right)} = - \frac{3}{8}$$
Solución detallada
Tenemos la ecuación
$$\cos{\left(x \right)} = - \frac{3}{8}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{acos}{\left(- \frac{3}{8} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(- \frac{3}{8} \right)}$$
O
$$x = \pi n + \operatorname{acos}{\left(- \frac{3}{8} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(- \frac{3}{8} \right)}$$
, donde n es cualquier número entero
Gráfica
Suma y producto de raíces [src]
suma
-acos(-3/8) + 2*pi + acos(-3/8)
$$\operatorname{acos}{\left(- \frac{3}{8} \right)} + \left(- \operatorname{acos}{\left(- \frac{3}{8} \right)} + 2 \pi\right)$$
=
2*pi
$$2 \pi$$
producto
(-acos(-3/8) + 2*pi)*acos(-3/8)
$$\left(- \operatorname{acos}{\left(- \frac{3}{8} \right)} + 2 \pi\right) \operatorname{acos}{\left(- \frac{3}{8} \right)}$$
=
(-acos(-3/8) + 2*pi)*acos(-3/8)
$$\left(- \operatorname{acos}{\left(- \frac{3}{8} \right)} + 2 \pi\right) \operatorname{acos}{\left(- \frac{3}{8} \right)}$$
(-acos(-3/8) + 2*pi)*acos(-3/8)
Respuesta rápida [src]
x1 = -acos(-3/8) + 2*pi
$$x_{1} = - \operatorname{acos}{\left(- \frac{3}{8} \right)} + 2 \pi$$
x2 = acos(-3/8)
$$x_{2} = \operatorname{acos}{\left(- \frac{3}{8} \right)}$$
x2 = acos(-3/8)
Respuesta numérica [src]
x1 = -52.2206755587272
x2 = -73.4430305848645
x3 = 1.95519310129054
x4 = 10.6111775130686
x5 = -1.95519310129054
x6 = 14.5215637156497
x7 = 89.9197874018047
x8 = 20.8047490228293
x9 = 58.5038608659068
x10 = -67.1598452776849
x11 = 67.1598452776849
x12 = 54.5934746633257
x13 = 48.3102893561462
x14 = 4.32799220588905
x15 = 16.8943628202482
x16 = 92.2925865064033
x17 = -79.7262158920441
x18 = 64.7870461730864
x19 = -89.9197874018047
x20 = -71.070231480266
x21 = 86.0094011992237
x22 = 60.8766599705053
x23 = 23.1775481274278
x24 = -96.2029727089843
x25 = 29.4607334346074
x26 = 98.5757718135828
x27 = 8.23837840847012
x28 = -77.3534167874456
x29 = 79.7262158920441
x30 = 35.743918741787
x31 = 33.3711196371885
x32 = 39.6543049443681
x33 = -33.3711196371885
x34 = 73.4430305848645
x35 = -20.8047490228293
x36 = -48.3102893561462
x37 = -27.0879343300089
x38 = -60.8766599705053
x39 = -39.6543049443681
x40 = 83.6366020946252
x41 = -83.6366020946252
x42 = -8.23837840847012
x43 = 45.9374902515476
x44 = -10.6111775130686
x45 = -4.32799220588905
x46 = -35.743918741787
x47 = 27.0879343300089
x48 = -54.5934746633257
x49 = 42.0271040489666
x50 = -29.4607334346074
x51 = 71.070231480266
x52 = -64.7870461730864
x53 = -92.2925865064033
x54 = -45.9374902515476
x55 = 77.3534167874456
x56 = 52.2206755587272
x57 = -16.8943628202482
x58 = -42.0271040489666
x59 = -23.1775481274278
x60 = -14.5215637156497
x61 = 96.2029727089843
x62 = -58.5038608659068
x63 = -98.5757718135828
x64 = -86.0094011992237
x64 = -86.0094011992237