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sin(x)=1/3

sin(x)=1/3 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
sin(x) = 1/3
$$\sin{\left(x \right)} = \frac{1}{3}$$
Solución detallada
Tenemos la ecuación
$$\sin{\left(x \right)} = \frac{1}{3}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{1}{3} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{1}{3} \right)} + \pi$$
O
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{1}{3} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{1}{3} \right)} + \pi$$
, donde n es cualquier número entero
Gráfica
Suma y producto de raíces [src]
suma
pi - asin(1/3) + asin(1/3)
$$\operatorname{asin}{\left(\frac{1}{3} \right)} + \left(\pi - \operatorname{asin}{\left(\frac{1}{3} \right)}\right)$$
=
pi
$$\pi$$
producto
(pi - asin(1/3))*asin(1/3)
$$\left(\pi - \operatorname{asin}{\left(\frac{1}{3} \right)}\right) \operatorname{asin}{\left(\frac{1}{3} \right)}$$
=
(pi - asin(1/3))*asin(1/3)
$$\left(\pi - \operatorname{asin}{\left(\frac{1}{3} \right)}\right) \operatorname{asin}{\left(\frac{1}{3} \right)}$$
(pi - asin(1/3))*asin(1/3)
Respuesta rápida [src]
x1 = pi - asin(1/3)
$$x_{1} = \pi - \operatorname{asin}{\left(\frac{1}{3} \right)}$$
x2 = asin(1/3)
$$x_{2} = \operatorname{asin}{\left(\frac{1}{3} \right)}$$
x2 = asin(1/3)
Respuesta numérica [src]
x1 = 2.80175574413567
x2 = -93.9079426982397
x3 = -75.0583867767009
x4 = -91.4460238635581
x5 = 63.17168998125
x6 = -34.8973560989418
x7 = -31.0760896264438
x8 = -78.879653249199
x9 = 12.9062075238133
x10 = -81.3415720838805
x11 = -100.191128005419
x12 = 84.4831647374703
x13 = 0.339836909454122
x14 = -22.3309854845827
x15 = 94.5876165171479
x16 = 56.8885046740704
x17 = -97.7292091707377
x18 = -28.6141707917623
x19 = 78.1999794302907
x20 = 40.5008675872132
x21 = -47.463726713301
x22 = 9.08494105131526
x23 = 65.6336088159315
x24 = 53.0672382015724
x25 = 15.3681263584948
x26 = -24.7929043192642
x27 = -16.0478001774031
x28 = -116.578765092276
x29 = 6.62302221663371
x30 = -49.9256455479826
x31 = -12.2265337049051
x32 = -68.7752014695213
x33 = -3.48142956304392
x34 = -60.0300973276602
x35 = -41.1805414061214
x36 = 69.4548752884296
x37 = 172.447759037984
x38 = 31.7557634453521
x39 = 50.6053193668908
x40 = -43.642460240803
x41 = 59.350423508752
x42 = -87.6247573910601
x43 = -18.5097190120846
x44 = -72.5964679420194
x45 = 82.0212459027887
x46 = -85.1628385563785
x47 = 97.0495353518295
x48 = -53.7469120204806
x49 = 19.1893928309929
x50 = 88.3044312099683
x51 = -66.3132826348398
x52 = 46.7840528943928
x53 = -112585.595763607
x54 = -5.94334839772546
x55 = 21.6513116656744
x56 = 75.7380605956092
x57 = 100.870801824328
x58 = 951.562737128253
x59 = 34.2176822800336
x60 = 44.3221340597112
x61 = -62.4920161623417
x62 = 27.934496972854
x63 = -37.3592749336234
x64 = 38.0389487525316
x65 = 25.4725781381725
x66 = -56.2088308551622
x67 = 71.9167941231111
x68 = 90.7663500446499
x69 = -9.7646148702235
x69 = -9.7646148702235
Gráfico
sin(x)=1/3 la ecuación