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sin(x)=5/13 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
sin(x) = 5/13
$$\sin{\left(x \right)} = \frac{5}{13}$$
Solución detallada
Tenemos la ecuación
$$\sin{\left(x \right)} = \frac{5}{13}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{5}{13} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{5}{13} \right)} + \pi$$
O
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{5}{13} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{5}{13} \right)} + \pi$$
, donde n es cualquier número entero
Gráfica
Suma y producto de raíces [src]
suma
pi - asin(5/13) + asin(5/13)
$$\operatorname{asin}{\left(\frac{5}{13} \right)} + \left(\pi - \operatorname{asin}{\left(\frac{5}{13} \right)}\right)$$
=
pi
$$\pi$$
producto
(pi - asin(5/13))*asin(5/13)
$$\left(\pi - \operatorname{asin}{\left(\frac{5}{13} \right)}\right) \operatorname{asin}{\left(\frac{5}{13} \right)}$$
=
(pi - asin(5/13))*asin(5/13)
$$\left(\pi - \operatorname{asin}{\left(\frac{5}{13} \right)}\right) \operatorname{asin}{\left(\frac{5}{13} \right)}$$
(pi - asin(5/13))*asin(5/13)
Respuesta rápida [src]
x1 = pi - asin(5/13)
$$x_{1} = \pi - \operatorname{asin}{\left(\frac{5}{13} \right)}$$
x2 = asin(5/13)
$$x_{2} = \operatorname{asin}{\left(\frac{5}{13} \right)}$$
x2 = asin(5/13)
Respuesta numérica [src]
x1 = -37.3043207233778
x2 = -3.53638377328955
x3 = -78.9346074594446
x4 = 56.943458884316
x5 = 6.67797642687935
x6 = -41.2354956163671
x7 = -56.1538766449165
x8 = 75.7930148058548
x9 = 40.4459133769676
x10 = 34.162728069788
x11 = -81.2866178736349
x12 = -62.4370619520961
x13 = -12.1715794946594
x14 = -97.7841633809834
x15 = -91.5009780738038
x16 = -66.3682368450854
x17 = -3270.79274350667
x18 = 78.1450252200451
x19 = -43.5875060305573
x20 = -72.651422152265
x21 = -60.0850515379058
x22 = -18.454764801839
x23 = -31.0211354161982
x24 = -68.7202472592757
x25 = 115.844137063123
x26 = 53.0122839913267
x27 = 9.02998684106962
x28 = -85.2177927666242
x29 = 100.925756034573
x30 = 82.0762001130344
x31 = 50.6602735771365
x32 = 63.2266441914956
x33 = -34.9523103091875
x34 = 71.8618399128655
x35 = 65.5786546056859
x36 = 96.9945811415838
x37 = -87.5698031808144
x38 = -75.0034325664553
x39 = -22.3859396948283
x40 = -672800.735891256
x41 = 15.3131721482492
x42 = 46.7290986841471
x43 = -24.7379501090186
x44 = 12.9611617340589
x45 = 2.74680153389003
x46 = 44.3770882699569
x47 = -47.5186809235467
x48 = 69.5098294986752
x49 = 132.341682570471
x50 = -49.8706913377369
x51 = 88.359385420214
x52 = -16.1027543876487
x53 = -93.852988487994
x54 = 84.4282105272246
x55 = -53.8018662307262
x56 = -9.81956908046914
x57 = 59.2954692985063
x58 = 21.5963574554288
x59 = -5.88839418747983
x60 = 94.6425707273936
x61 = -28.6691250020079
x62 = 19.2443470412385
x63 = 27.8795427626084
x64 = 31.8107176555977
x65 = 90.7113958344042
x66 = 0.394791119699761
x67 = -100.136173795174
x68 = 38.0939029627773
x69 = 25.5275323484181
x70 = -1995.30612614922
x70 = -1995.30612614922