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sin(x)=2/13 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
sin(x) = 2/13
$$\sin{\left(x \right)} = \frac{2}{13}$$
Solución detallada
Tenemos la ecuación
$$\sin{\left(x \right)} = \frac{2}{13}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{2}{13} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{2}{13} \right)} + \pi$$
O
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{2}{13} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{2}{13} \right)} + \pi$$
, donde n es cualquier número entero
Gráfica
Suma y producto de raíces [src]
suma
pi - asin(2/13) + asin(2/13)
$$\operatorname{asin}{\left(\frac{2}{13} \right)} + \left(\pi - \operatorname{asin}{\left(\frac{2}{13} \right)}\right)$$
=
pi
$$\pi$$
producto
(pi - asin(2/13))*asin(2/13)
$$\left(\pi - \operatorname{asin}{\left(\frac{2}{13} \right)}\right) \operatorname{asin}{\left(\frac{2}{13} \right)}$$
=
(pi - asin(2/13))*asin(2/13)
$$\left(\pi - \operatorname{asin}{\left(\frac{2}{13} \right)}\right) \operatorname{asin}{\left(\frac{2}{13} \right)}$$
(pi - asin(2/13))*asin(2/13)
Respuesta rápida [src]
x1 = pi - asin(2/13)
$$x_{1} = \pi - \operatorname{asin}{\left(\frac{2}{13} \right)}$$
x2 = asin(2/13)
$$x_{2} = \operatorname{asin}{\left(\frac{2}{13} \right)}$$
x2 = asin(2/13)
Respuesta numérica [src]
x1 = -78.694275938229
x2 = 69.2694979774596
x3 = 44.1367567487413
x4 = -53.5615347095107
x5 = 90.9517273556198
x6 = 78.3853567412607
x7 = 88.1190538989984
x8 = -81.5269493948504
x9 = 12.7208302128434
x10 = 25.2872008272025
x11 = 37.8535714415617
x12 = -84.9774612454086
x13 = -12.411911015875
x14 = 56.7031273631005
x15 = -31.2614669374137
x16 = -22.1456081736127
x17 = -47.2783494023311
x18 = 15.5535036694648
x19 = 97.2349126627994
x20 = -56.3942081661321
x21 = 100.685424513358
x22 = -62.6773934733117
x23 = -6.1287257086954
x24 = -37.5446522445933
x25 = -94.0933200092096
x26 = 59.5358008197219
x27 = -34.7119787879719
x28 = 81.8358685918188
x29 = 84.6685420484402
x30 = -97.5438318597678
x31 = -75.2437640876709
x32 = -332.854361682034
x33 = 2.98713305510561
x34 = 94.402239206178
x35 = -50.1110228589525
x36 = 75.5526832846392
x37 = 21.8366889766444
x38 = -72.4110906310494
x39 = 65.8189861269015
x40 = -87.81013470203
x41 = -656.747324198751
x42 = -122.676573088486
x43 = -18.6950963230546
x44 = 0.154459598484184
x45 = -100.376505316389
x46 = -3.29605225207398
x47 = 40.6862448981831
x48 = 9.2703183622852
x49 = 34.4030595910035
x50 = 72.1021714340811
x51 = 46.9694302053627
x52 = -43.8278375517729
x53 = -68.9605787804913
x54 = 62.98631267028
x55 = -91.2606465525882
x56 = 19.0040155200229
x57 = -66.1279053238698
x58 = -28.4287934807923
x59 = -40.9951640951515
x60 = 6.43764490566377
x61 = -59.8447200166903
x62 = -15.8624228664331
x63 = 53.2526155125423
x64 = 28.119874283824
x65 = 31.5703861343821
x66 = -9.57923755925356
x67 = -24.9782816302342
x68 = 50.4199420559209
x68 = 50.4199420559209