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sinx=2/7 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
sin(x) = 2/7
$$\sin{\left(x \right)} = \frac{2}{7}$$
Solución detallada
Tenemos la ecuación
$$\sin{\left(x \right)} = \frac{2}{7}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{2}{7} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{2}{7} \right)} + \pi$$
O
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{2}{7} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{2}{7} \right)} + \pi$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
x1 = pi - asin(2/7)
$$x_{1} = \pi - \operatorname{asin}{\left(\frac{2}{7} \right)}$$
x2 = asin(2/7)
$$x_{2} = \operatorname{asin}{\left(\frac{2}{7} \right)}$$
x2 = asin(2/7)
Suma y producto de raíces [src]
suma
pi - asin(2/7) + asin(2/7)
$$\operatorname{asin}{\left(\frac{2}{7} \right)} + \left(\pi - \operatorname{asin}{\left(\frac{2}{7} \right)}\right)$$
=
pi
$$\pi$$
producto
(pi - asin(2/7))*asin(2/7)
$$\left(\pi - \operatorname{asin}{\left(\frac{2}{7} \right)}\right) \operatorname{asin}{\left(\frac{2}{7} \right)}$$
=
(pi - asin(2/7))*asin(2/7)
$$\left(\pi - \operatorname{asin}{\left(\frac{2}{7} \right)}\right) \operatorname{asin}{\left(\frac{2}{7} \right)}$$
(pi - asin(2/7))*asin(2/7)
Respuesta numérica [src]
x1 = 59.40050871677
x2 = -18.5598042201027
x3 = -9.71452966220543
x4 = -12.2766189129231
x5 = -59.9800121196421
x6 = 9.13502625933333
x7 = 71.9668793311292
x8 = -62.5421013703598
x9 = 69.4047900804115
x10 = -28.5640855837442
x11 = -37.4093601416415
x12 = 44.2720488516931
x13 = 15.4182115665129
x14 = 100.820716616309
x15 = -47.4136415052829
x16 = 81.9711606947707
x17 = -81.3916572918986
x18 = -97.6791239627196
x19 = -22.2809002765646
x20 = -85.1127533483605
x21 = -49.9757307560006
x22 = 291.878365082415
x23 = 63.1216047732319
x24 = 27.9845821808721
x25 = -24.8429895272823
x26 = -72.5463827340013
x27 = 34.2677674880517
x28 = -87.6748425990782
x29 = -34.8472708909238
x30 = -31.1261748344619
x31 = 75.6879753875911
x32 = -78.8295680411809
x33 = -100.241213213437
x34 = 97.0996205598475
x35 = -112.807583827797
x36 = 37.9888635445136
x37 = 2.85184095215375
x38 = 12.8561223157952
x39 = 94.5375313091298
x40 = 56.8384194660523
x41 = 50.5552341588727
x42 = -15.997714969385
x43 = 90.816435252668
x44 = 31.705678237334
x45 = -66.2631974268217
x46 = 65.6836940239496
x47 = -75.108471984719
x48 = 19.1393076229748
x49 = 25.4224929301544
x50 = 84.5332499454884
x51 = -41.1304561981034
x52 = -93.9580279062578
x53 = 40.5509527952313
x54 = 0.289751701436047
x55 = 21.7013968736925
x56 = -56.2589160631802
x57 = -53.6968268124625
x58 = 6.57293700861563
x59 = 78.2500646383088
x60 = -3.43134435502584
x61 = -68.8252866775394
x62 = -43.6925454488211
x63 = 88.2543460019503
x64 = 53.1173234095904
x65 = 46.8341381024109
x66 = -91.39593865554
x67 = -5.99343360574354
x67 = -5.99343360574354