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sin(x)=3/4

sin(x)=3/4 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
sin(x) = 3/4
$$\sin{\left(x \right)} = \frac{3}{4}$$
Solución detallada
Tenemos la ecuación
$$\sin{\left(x \right)} = \frac{3}{4}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{3}{4} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{3}{4} \right)} + \pi$$
O
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{3}{4} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{3}{4} \right)} + \pi$$
, donde n es cualquier número entero
Gráfica
Suma y producto de raíces [src]
suma
pi - asin(3/4) + asin(3/4)
$$\operatorname{asin}{\left(\frac{3}{4} \right)} + \left(\pi - \operatorname{asin}{\left(\frac{3}{4} \right)}\right)$$
=
pi
$$\pi$$
producto
(pi - asin(3/4))*asin(3/4)
$$\left(\pi - \operatorname{asin}{\left(\frac{3}{4} \right)}\right) \operatorname{asin}{\left(\frac{3}{4} \right)}$$
=
(pi - asin(3/4))*asin(3/4)
$$\left(\pi - \operatorname{asin}{\left(\frac{3}{4} \right)}\right) \operatorname{asin}{\left(\frac{3}{4} \right)}$$
(pi - asin(3/4))*asin(3/4)
Respuesta rápida [src]
x1 = pi - asin(3/4)
$$x_{1} = \pi - \operatorname{asin}{\left(\frac{3}{4} \right)}$$
x2 = asin(3/4)
$$x_{2} = \operatorname{asin}{\left(\frac{3}{4} \right)}$$
x2 = asin(3/4)
Respuesta numérica [src]
x1 = 27.4262718033267
x2 = -99.6829028358919
x3 = 14.8599011889675
x4 = -91.9542490330855
x5 = 19.6976180005202
x6 = -1606.20190806337
x7 = 38.547173922059
x8 = -43.1342350712756
x9 = 90.2581248751225
x10 = 101.379026993855
x11 = -66.8215078043671
x12 = -55.7006056856348
x13 = -49.4174203784552
x14 = 76.2462857651365
x15 = -41.6887665756488
x16 = 52.559013032045
x17 = -2279.94820442721
x18 = -124.81564406461
x19 = 77.6917542607633
x20 = 33.7094571105062
x21 = -68.266976299994
x22 = -10.2728400397509
x23 = 7202.82389260241
x24 = -148.502916797702
x25 = -87.1165322215327
x26 = 83.9749395679429
x27 = -79.3878784187263
x28 = 25.9808033076998
x29 = -29.1223959612896
x30 = -18.0014938425573
x31 = 164.210880065651
x32 = -5.43512322819811
x33 = -11.7183085353777
x34 = 69.9631004579569
x35 = 44.8303592292386
x36 = 17010.8761571097
x37 = 272.470498783331
x38 = 65.1253836464042
x39 = 46.2758277248654
x40 = -80.8333469143531
x41 = 32.2639886148794
x42 = 88.8126563794957
x43 = 51.1135445364182
x44 = -93.3997175287123
x45 = -74.5501616071735
x46 = -24.2846791497369
x47 = -73.1046931115467
x48 = 58.8421983392246
x49 = -36.851049764096
x50 = 57.3967298435978
x51 = -54.255137190008
x52 = -98.2374343402651
x53 = -85.6710637259059
x54 = 13.4144326933407
x55 = 8.5767158817879
x56 = 0.848062078981481
x57 = 39.9926424176858
x58 = -3792.75039496186
x59 = -3.98965473257127
x60 = 2.29353057460831
x61 = -61.9837909928144
x62 = 21.1430864961471
x63 = 71.4085689535838
x64 = -16.5560253469304
x65 = -35.4055812684692
x66 = -47.9719518828284
x67 = -30.5678644569164
x68 = 7.13124738616107
x69 = -22.83921065411
x70 = -462.662182156681
x71 = 96.5413101823021
x72 = -60.5383224971876
x73 = 63.6799151507773
x74 = 95.0958416866753
x75 = 82.5294710723161
x75 = 82.5294710723161
Gráfico
sin(x)=3/4 la ecuación