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sin(x)=1/8

sin(x)=1/8 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
sin(x) = 1/8
$$\sin{\left(x \right)} = \frac{1}{8}$$
Solución detallada
Tenemos la ecuación
$$\sin{\left(x \right)} = \frac{1}{8}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{1}{8} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{1}{8} \right)} + \pi$$
O
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{1}{8} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{1}{8} \right)} + \pi$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
x1 = pi - asin(1/8)
$$x_{1} = \pi - \operatorname{asin}{\left(\frac{1}{8} \right)}$$
x2 = asin(1/8)
$$x_{2} = \operatorname{asin}{\left(\frac{1}{8} \right)}$$
x2 = asin(1/8)
Suma y producto de raíces [src]
suma
pi - asin(1/8) + asin(1/8)
$$\operatorname{asin}{\left(\frac{1}{8} \right)} + \left(\pi - \operatorname{asin}{\left(\frac{1}{8} \right)}\right)$$
=
pi
$$\pi$$
producto
(pi - asin(1/8))*asin(1/8)
$$\left(\pi - \operatorname{asin}{\left(\frac{1}{8} \right)}\right) \operatorname{asin}{\left(\frac{1}{8} \right)}$$
=
(pi - asin(1/8))*asin(1/8)
$$\left(\pi - \operatorname{asin}{\left(\frac{1}{8} \right)}\right) \operatorname{asin}{\left(\frac{1}{8} \right)}$$
(pi - asin(1/8))*asin(1/8)
Respuesta numérica [src]
x1 = -91.2315147852721
x2 = -147.780182549888
x3 = 28.1490060511401
x4 = 40.7153766654992
x5 = 50.3908102886048
x6 = -100.405637083705
x7 = 72.1313032013972
x8 = -72.3819588637333
x9 = -15.833291099117
x10 = 75.5235515173231
x11 = -56.4233399334482
x12 = 46.9985619726788
x13 = -81.5560811621666
x14 = -22.1164764062966
x15 = -53.5324029421946
x16 = -25.0074133975503
x17 = -47.249217635015
x18 = 31.541254367066
x19 = 103.547229737295
x20 = -18.7242280903707
x21 = 94.3731074388619
x22 = -12.4410427831911
x23 = -9.55010579193745
x24 = 6.40851313834765
x25 = 81.8067368245027
x26 = 97.2640444301155
x27 = -68.9897105478074
x28 = 44.1076249814252
x29 = -84.9483294780925
x30 = 15.5826354367809
x31 = -50.1401546262686
x32 = 18.9748837527068
x33 = -78.6651441709129
x34 = -87.8392664693461
x35 = -94.1224517765257
x36 = -75.272895854987
x37 = 4181.33449409685
x38 = -34.6828470206558
x39 = 0.125327831168065
x40 = 88.0899221316823
x41 = 144.638589896299
x42 = -40.9660323278354
x43 = 90.9808591229359
x44 = 59.564932587038
x45 = 56.6739955957843
x46 = 84.6976738157563
x47 = -31.2905987047299
x48 = -37.5737840119095
x49 = 69.2403662101435
x50 = 100.656292746041
x51 = 62.9571809029639
x52 = -28.3996617134762
x53 = -97.5147000924517
x54 = -43.856969319089
x55 = -3.26692048475786
x56 = 53.2817472798584
x57 = 12.6916984455272
x58 = -59.8155882493741
x59 = 78.4144885085768
x60 = 9.29945012960131
x61 = -66.0987735565537
x62 = 25.2580690598864
x63 = 21.8658207439605
x64 = 37.8244396742456
x65 = -6.15785747601152
x66 = 65.8481178942176
x67 = 34.4321913583197
x68 = -62.7065252406278
x69 = 3.01626482242173
x69 = 3.01626482242173
Gráfico
sin(x)=1/8 la ecuación