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tgx=5/3 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
tan(x) = 5/3
$$\tan{\left(x \right)} = \frac{5}{3}$$
Solución detallada
Tenemos la ecuación
$$\tan{\left(x \right)} = \frac{5}{3}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{atan}{\left(\frac{5}{3} \right)}$$
O
$$x = \pi n + \operatorname{atan}{\left(\frac{5}{3} \right)}$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
x1 = atan(5/3)
$$x_{1} = \operatorname{atan}{\left(\frac{5}{3} \right)}$$
x1 = atan(5/3)
Suma y producto de raíces [src]
suma
atan(5/3)
$$\operatorname{atan}{\left(\frac{5}{3} \right)}$$
=
atan(5/3)
$$\operatorname{atan}{\left(\frac{5}{3} \right)}$$
producto
atan(5/3)
$$\operatorname{atan}{\left(\frac{5}{3} \right)}$$
=
atan(5/3)
$$\operatorname{atan}{\left(\frac{5}{3} \right)}$$
atan(5/3)
Respuesta numérica [src]
x1 = -74.3678468596307
x2 = -42.9519203237328
x3 = -77.5094395132205
x4 = -58.6598835916818
x5 = 60.7206372447304
x6 = -93.2174027811695
x7 = -30.3855497093736
x8 = 23.0215254016529
x9 = 29.3047107088325
x10 = 67.00382255191
x11 = 26.1631180552427
x12 = 79.5701931662691
x13 = 41.8710813231916
x14 = -71.2262542060409
x15 = 82.7117858198589
x16 = -46.0935129773226
x17 = 98.4197490878079
x18 = 48.1542666303712
x19 = -33.5271423629634
x20 = 10.4551547872937
x21 = 63.8622298983202
x22 = -80.6510321668103
x23 = -55.518290938092
x24 = 92.1365637806283
x25 = 88.9949711270385
x26 = -90.0758101275797
x27 = 35.587896016012
x28 = -96.3589954347593
x29 = -61.8014762452716
x30 = 76.4286005126794
x31 = -86.9342174739899
x32 = -11.5359937878349
x33 = -24.102364402194
x34 = -2.11121582706548
x35 = 4.17196948011411
x36 = -39.810327670143
x37 = 38.7294886696018
x38 = -27.2439570557838
x39 = -36.6687350165532
x40 = -64.9430688988613
x41 = -68.0846615524511
x42 = -99.5005880883491
x43 = -5.25280848065527
x44 = 101.561341741398
x45 = 32.4463033624222
x46 = -83.7926248204001
x47 = -20.9607717486042
x48 = 1.03037682652431
x49 = -14.6775864414247
x50 = -8.39440113424507
x51 = 70.1454152054998
x52 = 54.4374519375508
x53 = 57.5790445911406
x54 = 85.8533784734487
x55 = -49.2351056309124
x56 = 16.7383400944733
x57 = -52.3766982845022
x58 = 13.5967474408835
x59 = 19.8799327480631
x60 = -17.8191790950144
x60 = -17.8191790950144