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sin(x)=(7/20) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
sin(x) = 7/20
$$\sin{\left(x \right)} = \frac{7}{20}$$
Solución detallada
Tenemos la ecuación
$$\sin{\left(x \right)} = \frac{7}{20}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{7}{20} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{7}{20} \right)} + \pi$$
O
$$x = 2 \pi n + \operatorname{asin}{\left(\frac{7}{20} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(\frac{7}{20} \right)} + \pi$$
, donde n es cualquier número entero
Gráfica
Suma y producto de raíces [src]
suma
pi - asin(7/20) + asin(7/20)
$$\operatorname{asin}{\left(\frac{7}{20} \right)} + \left(\pi - \operatorname{asin}{\left(\frac{7}{20} \right)}\right)$$
=
pi
$$\pi$$
producto
(pi - asin(7/20))*asin(7/20)
$$\left(\pi - \operatorname{asin}{\left(\frac{7}{20} \right)}\right) \operatorname{asin}{\left(\frac{7}{20} \right)}$$
=
(pi - asin(7/20))*asin(7/20)
$$\left(\pi - \operatorname{asin}{\left(\frac{7}{20} \right)}\right) \operatorname{asin}{\left(\frac{7}{20} \right)}$$
(pi - asin(7/20))*asin(7/20)
Respuesta rápida [src]
x1 = pi - asin(7/20)
$$x_{1} = \pi - \operatorname{asin}{\left(\frac{7}{20} \right)}$$
x2 = asin(7/20)
$$x_{2} = \operatorname{asin}{\left(\frac{7}{20} \right)}$$
x2 = asin(7/20)
Respuesta numérica [src]
x1 = -78.8973874433903
x2 = 44.3398682539026
x3 = 9.06720685712387
x4 = -198.277908279802
x5 = -288.668953026615
x6 = 97.0318011576381
x7 = -22.3487196787741
x8 = -75.0406525825095
x9 = 65.6158746217401
x10 = 100.888536018519
x11 = -18.4919848178933
x12 = -72.6142021362107
x13 = 78.1822452360993
x14 = 82.0389800969801
x15 = -56.1910966609708
x16 = -722.208739222007
x17 = 63.1894241754414
x18 = 21.633577471483
x19 = 90.7486158504585
x20 = 452.746913220576
x21 = 69.472609482621
x22 = 34.1999480858422
x23 = -60.0478315218516
x24 = -31.0583554322524
x25 = -5.92561420353408
x26 = -34.9150902931332
x27 = -81.3238378896891
x28 = 2.78402154994428
x29 = -100.173393811228
x30 = -12.2087995107137
x31 = 38.056682946723
x32 = -66.3310168290312
x33 = 6.6407564108251
x34 = 0.35757110364551
x35 = -9.78234906441489
x36 = 12.9239417180047
x37 = 50.6230535610822
x38 = -3.4991637572353
x39 = -91.4637580577495
x40 = 94.6053507113393
x41 = 71.8990599289197
x42 = -62.4742819681504
x43 = -47.4814609074924
x44 = -41.1982756003128
x45 = -16.0655343715945
x46 = 15.3503921643035
x47 = 40.4831333930218
x48 = -68.7574672753299
x49 = 56.9062388682618
x50 = -28.6319049859536
x51 = 25.4903123323639
x52 = -37.341540739432
x53 = -93.8902085040483
x54 = 53.049504007381
x55 = 27.9167627786626
x56 = 923.985811259045
x57 = 84.4654305432789
x58 = 46.7663187002014
x59 = 59.3326893145606
x60 = -85.1805727505699
x61 = -87.6070231968687
x62 = -24.7751701250728
x63 = -217.127464201341
x64 = 88.3221654041597
x65 = 31.7734976395434
x66 = -53.764646214672
x67 = 641.242472435963
x68 = 75.7557947898005
x69 = -43.6247260466116
x70 = 19.2071270251843
x71 = 446.463727913396
x72 = -49.9079113537912
x73 = -97.7469433649291
x73 = -97.7469433649291