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sin(x)=0.25 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
sin(x) = 1/4
sin⁡(x)=14\sin{\left(x \right)} = \frac{1}{4}
Simplificar
Solución detallada
Tenemos la ecuación
sin⁡(x)=14\sin{\left(x \right)} = \frac{1}{4}
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
x=2πn+asin⁡(14)x = 2 \pi n + \operatorname{asin}{\left(\frac{1}{4} \right)}
x=2πn−asin⁡(14)+πx = 2 \pi n - \operatorname{asin}{\left(\frac{1}{4} \right)} + \pi
O
x=2πn+asin⁡(14)x = 2 \pi n + \operatorname{asin}{\left(\frac{1}{4} \right)}
x=2πn−asin⁡(14)+πx = 2 \pi n - \operatorname{asin}{\left(\frac{1}{4} \right)} + \pi
, donde n es cualquier número entero
Gráfica
0-80-60-40-2020406080-1001002-2
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Suma y producto de raíces [src] 
suma
pi - asin(1/4) + asin(1/4)
asin⁡(14)+(π−asin⁡(14))\operatorname{asin}{\left(\frac{1}{4} \right)} + \left(\pi - \operatorname{asin}{\left(\frac{1}{4} \right)}\right) 
=
pi
π\pi 
producto
(pi - asin(1/4))*asin(1/4)
(π−asin⁡(14))asin⁡(14)\left(\pi - \operatorname{asin}{\left(\frac{1}{4} \right)}\right) \operatorname{asin}{\left(\frac{1}{4} \right)} 
=
(pi - asin(1/4))*asin(1/4)
(π−asin⁡(14))asin⁡(14)\left(\pi - \operatorname{asin}{\left(\frac{1}{4} \right)}\right) \operatorname{asin}{\left(\frac{1}{4} \right)} 
(pi - asin(1/4))*asin(1/4)
Respuesta rápida [src] 
x1 = pi - asin(1/4)
x1=π−asin⁡(14)x_{1} = \pi - \operatorname{asin}{\left(\frac{1}{4} \right)} 
x2 = asin(1/4)
x2=asin⁡(14)x_{2} = \operatorname{asin}{\left(\frac{1}{4} \right)} 
x2 = asin(1/4)
Respuesta numérica [src] 
x1 = -62.5791728166538
x2 = -37.4464315879354
x3 = -66.2261259805277
x4 = -28.5270141374502
x5 = 19.1022361766808
x6 = 78.2871360846027
x7 = -53.6597553661686
x8 = -3.39427290873187
x9 = 81.9340892484767
x10 = -18.5968756663967
x11 = 15.4552830128069
x12 = 100.783645170015
x13 = 97.1366920061415
x14 = 12.8190508695013
x15 = 90.8535066989619
x16 = 63.0845333269379
x17 = 94.5004598628359
x18 = -50.0128022022946
x19 = 6.53586556232167
x20 = -43.729616895115
x21 = -22.2438288302706
x22 = -15.960643523091
x23 = -81.4287287381925
x24 = 2.88891239844771
x25 = -75.145543431013
x26 = 37.9517920982196
x27 = -91.3588672092461
x28 = -6.03050505203751
x29 = -41.0933847518094
x30 = 53.1543948558844
x31 = -24.8800609735763
x32 = -31.1632462807559
x33 = -68.8623581238334
x34 = 21.7384683199865
x35 = -59.9429406733481
x36 = 75.6509039412971
x37 = -34.8101994446298
x38 = 31.66860679104
x39 = 84.5703213917823
x40 = 69.3677186341175
x41 = 0.252680255142079
x42 = 88.2172745556563
x43 = -47.376570058989
x44 = 144.765942320273
x45 = 72.0039507774232
x46 = 28.0216536271661
x47 = -93.9950993525517
x48 = -97.6420525164257
x49 = 44.2349774053992
x50 = 50.5181627125788
x51 = -9.67745821591146
x52 = 163.615498241811
x53 = -78.7924965948869
x54 = -87.7119140453721
x55 = 34.3048389343456
x56 = -56.2959875094742
x57 = 46.8712095487048
x58 = 40.5880242415252
x59 = -116.491608437964
x60 = 25.3854214838604
x61 = 56.8013480197584
x62 = 65.7207654702436
x63 = -72.5093112877073
x64 = 59.437580163064
x65 = -85.0756819020665
x66 = -100.278284659731
x67 = 9.1720977056273
x68 = -12.3136903592171
x68 = -12.3136903592171
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