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sin(x)=1/5

sin(x)=1/5 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
sin(x) = 1/5
$$\sin{\left(x \right)} = \frac{1}{5}$$
Solución detallada
Tenemos la ecuación
$$\sin{\left(x \right)} = \frac{1}{5}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{1}{5} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{1}{5} \right)} + \pi$$
O
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{1}{5} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{1}{5} \right)} + \pi$$
, donde n es cualquier número entero
Gráfica
Suma y producto de raíces [src]
suma
pi - asin(1/5) + asin(1/5)
$$\operatorname{asin}{\left(\frac{1}{5} \right)} + \left(\pi - \operatorname{asin}{\left(\frac{1}{5} \right)}\right)$$
=
pi
$$\pi$$
producto
(pi - asin(1/5))*asin(1/5)
$$\left(\pi - \operatorname{asin}{\left(\frac{1}{5} \right)}\right) \operatorname{asin}{\left(\frac{1}{5} \right)}$$
=
(pi - asin(1/5))*asin(1/5)
$$\left(\pi - \operatorname{asin}{\left(\frac{1}{5} \right)}\right) \operatorname{asin}{\left(\frac{1}{5} \right)}$$
(pi - asin(1/5))*asin(1/5)
Respuesta rápida [src]
x1 = pi - asin(1/5)
$$x_{1} = \pi - \operatorname{asin}{\left(\frac{1}{5} \right)}$$
x2 = asin(1/5)
$$x_{2} = \operatorname{asin}{\left(\frac{1}{5} \right)}$$
x2 = asin(1/5)
Respuesta numérica [src]
x1 = -2814.66565969566
x2 = 34.3561612686974
x3 = -31.2145686151076
x4 = 6.48454322796992
x5 = -100.329606994083
x6 = -56.3473098438259
x7 = 0.201357920790331
x8 = -81.4800510725443
x9 = -15.9093211887393
x10 = -68.9136804581851
x11 = -72.4579889533556
x12 = -43.7809392294668
x13 = -188.294201294597
x14 = 78.3384584189545
x15 = -85.0243595677148
x16 = -1746.52415747513
x17 = 46.9225318830566
x18 = 31.6172844566883
x19 = 100.732322835664
x20 = -47.3252477246372
x21 = 81.882766914125
x22 = 65.7720878045953
x23 = -97.5907301820739
x24 = -18.6481980007484
x25 = -87.7632363797239
x26 = -91.3075448748943
x27 = 53.2057171902362
x28 = -41.0420624174576
x29 = -66.174803646176
x30 = 44.1836550710474
x31 = -6.08182738638926
x32 = -24.931383307928
x33 = 63.0332109925862
x34 = -28.4756918030985
x35 = 9.22342003997905
x36 = 69.3163962997658
x37 = 50.466840378227
x38 = -37.4977539222872
x39 = -59.8916183389964
x40 = 72.0552731117749
x41 = -9.62613588155971
x42 = 56.7500256854066
x43 = 25.3340991495087
x44 = 2.94023473279946
x45 = -34.7588771102781
x46 = 40.639346575877
x47 = 28.0729759615178
x48 = 94.4491375284841
x49 = 90.9048290333137
x50 = -75.1968657653647
x51 = 12.7677285351495
x52 = 15.5066053471586
x53 = -3.34295057438012
x54 = -22.1925064959189
x55 = 59.4889024974157
x56 = 84.6216437261341
x57 = -53.6084330318168
x58 = -12.3650126935688
x59 = -50.0641245366464
x60 = -94.0464216869035
x61 = 75.5995816069454
x62 = -62.6304951510055
x63 = 37.9004697638678
x64 = 97.1880143404933
x65 = 19.0509138423291
x66 = -78.7411742605352
x67 = 21.7897906543382
x68 = 88.1659522213045
x69 = -348.918142469257
x69 = -348.918142469257
Gráfico
sin(x)=1/5 la ecuación