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sinx=5/8 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
sin(x) = 5/8
$$\sin{\left(x \right)} = \frac{5}{8}$$
Solución detallada
Tenemos la ecuación
$$\sin{\left(x \right)} = \frac{5}{8}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{5}{8} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{5}{8} \right)} + \pi$$
O
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{5}{8} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{5}{8} \right)} + \pi$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
x1 = pi - asin(5/8)
$$x_{1} = \pi - \operatorname{asin}{\left(\frac{5}{8} \right)}$$
x2 = asin(5/8)
$$x_{2} = \operatorname{asin}{\left(\frac{5}{8} \right)}$$
x2 = asin(5/8)
Suma y producto de raíces [src]
suma
pi - asin(5/8) + asin(5/8)
$$\operatorname{asin}{\left(\frac{5}{8} \right)} + \left(\pi - \operatorname{asin}{\left(\frac{5}{8} \right)}\right)$$
=
pi
$$\pi$$
producto
(pi - asin(5/8))*asin(5/8)
$$\left(\pi - \operatorname{asin}{\left(\frac{5}{8} \right)}\right) \operatorname{asin}{\left(\frac{5}{8} \right)}$$
=
(pi - asin(5/8))*asin(5/8)
$$\left(\pi - \operatorname{asin}{\left(\frac{5}{8} \right)}\right) \operatorname{asin}{\left(\frac{5}{8} \right)}$$
(pi - asin(5/8))*asin(5/8)
Respuesta numérica [src]
x1 = -10.0999094937064
x2 = -24.4576096957813
x3 = -99.8558333819363
x4 = -81.0062774603976
x5 = 15.0328317350119
x6 = 88.6397258334512
x7 = 90.431055421167
x8 = 32.091058068835
x9 = 71.5814994996282
x10 = -79.2149478726819
x11 = -72.9317625655023
x12 = 96.7142407283466
x13 = 82.3565405262717
x14 = 182.887505441145
x15 = 101.20609644781
x16 = 44.6574286831941
x17 = 27.5992023493711
x18 = 46.4487582709099
x19 = -16.383094800886
x20 = -62.1567215388588
x21 = 0.675131532937032
x22 = 8.74964642783235
x23 = 2.46646112065276
x24 = 84.1478701139874
x25 = -60.3653919511431
x26 = 40.1655729637303
x27 = 25.8078727616554
x28 = -30.7407950029609
x29 = -28.9494654152452
x30 = -74.723092153218
x31 = -47.7990213367839
x32 = -68.4399068460384
x33 = -41.5158360296043
x34 = 77.8646848068078
x35 = -5.60805377424255
x36 = 19.5246874544758
x37 = 69.7901699119125
x38 = 8748.66040871464
x39 = -11.8912390814221
x40 = -22.6662801080656
x41 = -43.3071656173201
x42 = -87.2894627675772
x43 = -142.046800944478
x44 = -66.6485772583227
x45 = 50.9406139903737
x46 = 33.8823876565507
x47 = -93.5726480747568
x48 = 52.7319435780895
x49 = -49.5903509244997
x50 = 13.2415021472962
x51 = -37.0239803101405
x52 = 21.3160170421915
x53 = -54.0822066439635
x54 = 76.0733552190921
x55 = 59.015128885269
x56 = -55.8735362316792
x57 = 57.2237992975533
x58 = 195.453876055504
x59 = -85.4981331798615
x60 = 38.3742433760145
x61 = -3.81672418652682
x62 = 6.95831684011662
x63 = -123.197245022939
x64 = -35.2326507224248
x65 = -98.0645037942206
x66 = 172.112464414502
x67 = 65.2983141924486
x68 = -18.1744243886017
x69 = -91.781318487041
x70 = 63.5069846047329
x71 = 203.5283909504
x72 = 94.9229111406308
x72 = 94.9229111406308