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tgx=1/6 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
tan(x) = 1/6
$$\tan{\left(x \right)} = \frac{1}{6}$$
Solución detallada
Tenemos la ecuación
$$\tan{\left(x \right)} = \frac{1}{6}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{atan}{\left(\frac{1}{6} \right)}$$
O
$$x = \pi n + \operatorname{atan}{\left(\frac{1}{6} \right)}$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
x1 = atan(1/6)
$$x_{1} = \operatorname{atan}{\left(\frac{1}{6} \right)}$$
x1 = atan(1/6)
Suma y producto de raíces [src]
suma
atan(1/6)
$$\operatorname{atan}{\left(\frac{1}{6} \right)}$$
=
atan(1/6)
$$\operatorname{atan}{\left(\frac{1}{6} \right)}$$
producto
atan(1/6)
$$\operatorname{atan}{\left(\frac{1}{6} \right)}$$
=
atan(1/6)
$$\operatorname{atan}{\left(\frac{1}{6} \right)}$$
atan(1/6)
Respuesta numérica [src]
x1 = -37.5339631656629
x2 = 31.5810752133126
x3 = -84.6578529695098
x4 = 78.7049650171595
x5 = -9.25962928335475
x6 = -50.1003337800221
x7 = -46.9587411264323
x8 = 3.30674133100442
x9 = 37.8642605204921
x10 = -21.8259998977139
x11 = 59.8554090956207
x12 = -68.9498897015608
x13 = -31.2507778584833
x14 = 75.5633723635697
x15 = -56.3835190872016
x16 = -78.3746676623302
x17 = 28.4394825597228
x18 = -40.6755558192527
x19 = 53.5722237884411
x20 = 91.2713356315186
x21 = -6.11803662976496
x22 = -72.0914823551506
x23 = 84.988150324339
x24 = 25.297889906133
x25 = 88.1297429779288
x26 = -62.6667043943812
x27 = 22.1562972525432
x28 = -28.1091852048935
x29 = -94.0826309302792
x30 = 66.1385944028003
x31 = 19.0147045989534
x32 = 62.9970017492105
x33 = 9.58992663818401
x34 = 94.4129282851084
x35 = 47.2890384812615
x36 = 50.4306311348513
x37 = -2.97644397617517
x38 = -81.51626031592
x39 = 69.2801870563901
x40 = 100.696113592288
x41 = -24.9675925513037
x42 = -53.2419264336119
x43 = 41.0058531740819
x44 = 44.1474458276717
x45 = -43.8171484728425
x46 = 81.8465576707492
x47 = -90.9410382766894
x48 = 15.8731119453636
x49 = 12.7315192917738
x50 = -87.7994456230996
x51 = 0.165148677414627
x52 = 97.5545209386982
x53 = -97.224223583869
x54 = 6.44833398459421
x55 = -18.6844072441241
x56 = -65.808297047971
x57 = 56.7138164420309
x58 = -15.5428145905343
x59 = 72.4217797099799
x60 = -100.365816237459
x61 = -59.5251117407914
x62 = -12.4012219369445
x63 = 34.7226678669024
x64 = -75.2330750087404
x65 = -34.3923705120731
x65 = -34.3923705120731