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sin(x)+1=1/5 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
sin(x) + 1 = 1/5
sin⁡(x)+1=15\sin{\left(x \right)} + 1 = \frac{1}{5}
Simplificar
Solución detallada
Tenemos la ecuación
sin⁡(x)+1=15\sin{\left(x \right)} + 1 = \frac{1}{5}
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
x=2πn+asin⁡(−45)x = 2 \pi n + \operatorname{asin}{\left(- \frac{4}{5} \right)}
x=2πn−asin⁡(−45)+πx = 2 \pi n - \operatorname{asin}{\left(- \frac{4}{5} \right)} + \pi
O
x=2πn−asin⁡(45)x = 2 \pi n - \operatorname{asin}{\left(\frac{4}{5} \right)}
x=2πn+asin⁡(45)+πx = 2 \pi n + \operatorname{asin}{\left(\frac{4}{5} \right)} + \pi
, donde n es cualquier número entero
Gráfica
0-80-60-40-2020406080-10010004
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Respuesta rápida [src] 
x1 = pi + asin(4/5)
x1=asin⁡(45)+πx_{1} = \operatorname{asin}{\left(\frac{4}{5} \right)} + \pi 
x2 = -asin(4/5)
x2=−asin⁡(45)x_{2} = - \operatorname{asin}{\left(\frac{4}{5} \right)} 
x2 = -asin(4/5)
Suma y producto de raíces [src] 
suma
pi + asin(4/5) - asin(4/5)
−asin⁡(45)+(asin⁡(45)+π)- \operatorname{asin}{\left(\frac{4}{5} \right)} + \left(\operatorname{asin}{\left(\frac{4}{5} \right)} + \pi\right) 
=
pi
π\pi 
producto
(pi + asin(4/5))*(-asin(4/5))
(asin⁡(45)+π)(−asin⁡(45))\left(\operatorname{asin}{\left(\frac{4}{5} \right)} + \pi\right) \left(- \operatorname{asin}{\left(\frac{4}{5} \right)}\right) 
=
-(pi + asin(4/5))*asin(4/5)
−(asin⁡(45)+π)asin⁡(45)- \left(\operatorname{asin}{\left(\frac{4}{5} \right)} + \pi\right) \operatorname{asin}{\left(\frac{4}{5} \right)} 
-(pi + asin(4/5))*asin(4/5)
Respuesta numérica [src] 
x1 = -88.8918895185158
x2 = 35.4848144074893
x3 = 92.0334821721056
x4 = -96.462077043282
x5 = 98.3166674792852
x6 = -12894.0235455505
x7 = -27.3470386643065
x8 = -101.458260132875
x9 = -51.1927776754383
x10 = -57.4759629826179
x11 = -171.860300729437
x12 = -65.046150507384
x13 = -63.7591482897975
x14 = -46.1965945858453
x15 = 5.35589008917797
x16 = -90.1788917361024
x17 = -21.0638533571269
x18 = -82.6087042113362
x19 = -19.7768511395404
x20 = 61.9045578537943
x21 = -1748.93981283151
x22 = 85.750296864926
x23 = -76.3255189041567
x24 = 99.6036696968718
x25 = -26.06003644672
x26 = -39.9134092786657
x27 = 2989.86891099948
x28 = -13.4936658323608
x29 = -38.6264070610791
x30 = -95.1750748256954
x31 = 30.4886313178963
x32 = 60.6175556362077
x33 = 55.6213725466147
x34 = -70.0423335969771
x35 = 29.2016291003098
x36 = 80.754113775333
x37 = -71.3293358145636
x38 = 79.4671115577464
x39 = -33.6302239714861
x40 = -0.927295218001612
x41 = -52.4797798930249
x42 = 87.0372990825126
x43 = 48.0511850218485
x44 = -8.49748274276777
x45 = -44.9095923682587
x46 = 17.9222607035371
x47 = 3585.48451296396
x48 = 43.0550019322555
x49 = -83.8957064289228
x50 = 24.2054460107167
x51 = 74.4709284681534
x52 = 41.7679997146689
x53 = 68.1877431609738
x54 = 73.1839262505669
x55 = 54.3343703290281
x56 = 49.3381872394351
x57 = -214.555595662108
x58 = -14.7806680499474
x59 = 16.6352584859506
x60 = 10.352073178771
x61 = 66.9007409433873
x62 = 93.3204843896922
x63 = -77.6125211217432
x64 = -7.2104805251812
x65 = 11.6390753963576
x66 = 36.7718166250759
x67 = -58.7629652002045
x68 = 22.9184437931302
x69 = -2.21429743558818
x70 = -32.3432217538995
x71 = 438.895676284569
x72 = 4.06888787159141
x72 = 4.06888787159141
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