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cos(x)=1/8

cos(x)=1/8 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
cos(x) = 1/8
$$\cos{\left(x \right)} = \frac{1}{8}$$
Solución detallada
Tenemos la ecuación
$$\cos{\left(x \right)} = \frac{1}{8}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{acos}{\left(\frac{1}{8} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(\frac{1}{8} \right)}$$
O
$$x = \pi n + \operatorname{acos}{\left(\frac{1}{8} \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(\frac{1}{8} \right)}$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
x1 = -acos(1/8) + 2*pi
$$x_{1} = - \operatorname{acos}{\left(\frac{1}{8} \right)} + 2 \pi$$
x2 = acos(1/8)
$$x_{2} = \operatorname{acos}{\left(\frac{1}{8} \right)}$$
x2 = acos(1/8)
Suma y producto de raíces [src]
suma
-acos(1/8) + 2*pi + acos(1/8)
$$\operatorname{acos}{\left(\frac{1}{8} \right)} + \left(- \operatorname{acos}{\left(\frac{1}{8} \right)} + 2 \pi\right)$$
=
2*pi
$$2 \pi$$
producto
(-acos(1/8) + 2*pi)*acos(1/8)
$$\left(- \operatorname{acos}{\left(\frac{1}{8} \right)} + 2 \pi\right) \operatorname{acos}{\left(\frac{1}{8} \right)}$$
=
(-acos(1/8) + 2*pi)*acos(1/8)
$$\left(- \operatorname{acos}{\left(\frac{1}{8} \right)} + 2 \pi\right) \operatorname{acos}{\left(\frac{1}{8} \right)}$$
(-acos(1/8) + 2*pi)*acos(1/8)
Respuesta numérica [src]
x1 = 67.6695698833486
x2 = 48.8200139618099
x3 = 99.0854964192466
x4 = 73.9527551905282
x5 = 55.1031992689894
x6 = 76.8436921817819
x7 = -61.386384576169
x8 = 39.1445803387044
x9 = 4.83771681155276
x10 = -92.802311112067
x11 = -45.4277656458839
x12 = -55.1031992689894
x13 = -70.5605068746023
x14 = 32.8613950315248
x15 = -67.6695698833486
x16 = 617.197628599226
x17 = -4.83771681155276
x18 = 80.2359404977078
x19 = 89.410062796141
x20 = 17.4040874259119
x21 = -80.2359404977078
x22 = -76.8436921817819
x23 = 45.4277656458839
x24 = 23.6872727330915
x25 = 26.5782097243452
x26 = -32.8613950315248
x27 = -64.2773215674227
x28 = -99.0854964192466
x29 = -51.7109509530635
x30 = -20.2950244171656
x31 = 36.2536433474507
x32 = -36.2536433474507
x33 = -89.410062796141
x34 = 14.011839109986
x35 = 29.9704580402711
x36 = 70.5605068746023
x37 = -95.6932481033206
x38 = -29.9704580402711
x39 = 42.5368286546303
x40 = -39.1445803387044
x41 = 64.2773215674227
x42 = 7.72865380280642
x43 = -11.1209021187323
x44 = -83.1268774889615
x45 = 20.2950244171656
x46 = 1.44546849562683
x47 = -86.5191258048874
x48 = -1490.56038629719
x49 = -73.9527551905282
x50 = -7.72865380280642
x51 = 51.7109509530635
x52 = 86.5191258048874
x53 = 83.1268774889615
x54 = -57.9941362602431
x55 = -17.4040874259119
x56 = -1.44546849562683
x57 = -14.011839109986
x58 = 57.9941362602431
x59 = -26.5782097243452
x60 = 95.6932481033206
x61 = -42.5368286546303
x62 = 11.1209021187323
x63 = 61.386384576169
x64 = -48.8200139618099
x65 = -23.6872727330915
x66 = 92.802311112067
x66 = 92.802311112067
Gráfico
cos(x)=1/8 la ecuación