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Sinx=1/7 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
sin(x) = 1/7
sin⁡(x)=17\sin{\left(x \right)} = \frac{1}{7}
Simplificar
Solución detallada
Tenemos la ecuación
sin⁡(x)=17\sin{\left(x \right)} = \frac{1}{7}
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
x=2πn+asin⁡(17)x = 2 \pi n + \operatorname{asin}{\left(\frac{1}{7} \right)}
x=2πn−asin⁡(17)+πx = 2 \pi n - \operatorname{asin}{\left(\frac{1}{7} \right)} + \pi
O
x=2πn+asin⁡(17)x = 2 \pi n + \operatorname{asin}{\left(\frac{1}{7} \right)}
x=2πn−asin⁡(17)+πx = 2 \pi n - \operatorname{asin}{\left(\frac{1}{7} \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(1/7) + asin(1/7)
asin⁡(17)+(π−asin⁡(17))\operatorname{asin}{\left(\frac{1}{7} \right)} + \left(\pi - \operatorname{asin}{\left(\frac{1}{7} \right)}\right) 
=
pi
π\pi 
producto
(pi - asin(1/7))*asin(1/7)
(π−asin⁡(17))asin⁡(17)\left(\pi - \operatorname{asin}{\left(\frac{1}{7} \right)}\right) \operatorname{asin}{\left(\frac{1}{7} \right)} 
=
(pi - asin(1/7))*asin(1/7)
(π−asin⁡(17))asin⁡(17)\left(\pi - \operatorname{asin}{\left(\frac{1}{7} \right)}\right) \operatorname{asin}{\left(\frac{1}{7} \right)} 
(pi - asin(1/7))*asin(1/7)
Respuesta rápida [src] 
x1 = pi - asin(1/7)
x1=π−asin⁡(17)x_{1} = \pi - \operatorname{asin}{\left(\frac{1}{7} \right)} 
x2 = asin(1/7)
x2=asin⁡(17)x_{2} = \operatorname{asin}{\left(\frac{1}{7} \right)} 
x2 = asin(1/7)
Respuesta numérica [src] 
x1 = 21.8478010062232
x2 = 9.28143039186401
x3 = -47.2672373727523
x4 = -66.116793294291
x5 = -22.1344961440339
x6 = 15.5646156990436
x7 = -34.7008667583931
x8 = 907.776929318545
x9 = 31.5592741048033
x10 = -18.7062083526334
x11 = 100.674312483779
x12 = 25.2760887976237
x13 = 12.7097181832645
x14 = -56.4053201957109
x15 = -75.2548761172497
x16 = -94.1044320387884
x17 = 62.9752006407012
x18 = -84.9663492158298
x19 = 50.4088300263421
x20 = 90.9628393851986
x21 = 44.1256447191625
x22 = -24.989393659813
x23 = 46.9805422349415
x24 = 97.2460246923782
x25 = -59.8336079871114
x26 = -40.9840520655727
x27 = 72.1132834636599
x28 = 6.42653287608495
x29 = -81.5380614244293
x30 = 2.99824508468443
x31 = 69.2583859478808
x32 = 88.1079418694196
x33 = 0.143347568905365
x34 = -72.3999786014706
x35 = 53.2637275421211
x36 = -68.9716908100701
x37 = -37.5557642741722
x38 = -128.948646366087
x39 = -87.8212467316089
x40 = 75.5415712550604
x41 = -62.6885055028905
x42 = 78.3964687708395
x43 = -97.532719830189
x44 = -12.4230230454538
x45 = 34.4141716205824
x46 = -100.387617345968
x47 = -91.2495345230094
x48 = -6.13983773827422
x49 = -110.099090444548
x50 = -15.8513108368543
x51 = 59.5469128493007
x52 = 18.9929034904441
x53 = -43.8389495813517
x54 = -53.5504226799318
x55 = 84.6796540780191
x56 = 28.1309863134028
x57 = 94.3911271765992
x58 = -122.665461058907
x59 = 40.6973569277619
x60 = 65.8300981564803
x61 = -9.56812552967475
x62 = -31.2725789669926
x63 = -3.28494022249516
x64 = -50.1221348885313
x65 = 56.6920153335216
x66 = 37.8424594119829
x67 = -78.6831639086502
x68 = -28.4176814512135
x69 = 81.82475656224
x69 = 81.82475656224
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