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tg(x)=1/2

tg(x)=1/2 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
tan(x) = 1/2
$$\tan{\left(x \right)} = \frac{1}{2}$$
Solución detallada
Tenemos la ecuación
$$\tan{\left(x \right)} = \frac{1}{2}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{atan}{\left(\frac{1}{2} \right)}$$
O
$$x = \pi n + \operatorname{atan}{\left(\frac{1}{2} \right)}$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
x1 = atan(1/2)
$$x_{1} = \operatorname{atan}{\left(\frac{1}{2} \right)}$$
x1 = atan(1/2)
Suma y producto de raíces [src]
suma
atan(1/2)
$$\operatorname{atan}{\left(\frac{1}{2} \right)}$$
=
atan(1/2)
$$\operatorname{atan}{\left(\frac{1}{2} \right)}$$
producto
atan(1/2)
$$\operatorname{atan}{\left(\frac{1}{2} \right)}$$
=
atan(1/2)
$$\operatorname{atan}{\left(\frac{1}{2} \right)}$$
atan(1/2)
Respuesta numérica [src]
x1 = -46.6602421948461
x2 = -8.96113035176857
x3 = -100.067317305873
x4 = 60.1539080272069
x5 = -30.9522789268971
x6 = 19.3132035305396
x7 = 31.8795741448987
x8 = 41.3043521056681
x9 = -65.5097981163849
x10 = -68.6513907699746
x11 = 25.5963888377192
x12 = 63.2955006807967
x13 = 79.0034639487456
x14 = -43.5186495412563
x15 = -71.7929834235644
x16 = -21.5275009661277
x17 = 100.994612523874
x18 = 97.8530198702844
x19 = 16.1716108769498
x20 = 6.74683291618039
x21 = 35.0211667984885
x22 = -24.6690936197175
x23 = -59.2266128092053
x24 = 22.4547961841294
x25 = 3.6052402625906
x26 = 0.463647609000806
x27 = -12.1027230053584
x28 = -18.385908312538
x29 = -78.076168730744
x30 = 82.1450566023354
x31 = -52.9434275020257
x32 = -90.6425393451032
x33 = 69.5786859879763
x34 = 85.2866492559252
x35 = -2.67794504458899
x36 = 47.5875374128477
x37 = -27.8106862733073
x38 = 88.428241909515
x39 = -37.2354642340767
x40 = 9.88842556977019
x41 = -49.8018348484359
x42 = 91.5698345631048
x43 = -84.3593540379236
x44 = 57.0123153736171
x45 = -81.2177613843338
x46 = -62.3682054627951
x47 = -34.0938715804869
x48 = 94.7114272166946
x49 = -93.784131998693
x50 = 44.4459447592579
x51 = -96.9257246522828
x52 = -74.9345760771542
x53 = 53.8707227200273
x54 = 38.1627594520783
x55 = 72.7202786415661
x56 = 28.7379814913089
x57 = -87.5009466915134
x58 = -5.81953769817878
x59 = 13.03001822336
x60 = -56.0850201556155
x61 = 75.8618712951559
x62 = 50.7291300664375
x63 = -15.2443156589482
x64 = 66.4370933343865
x65 = -40.3770568876665
x65 = -40.3770568876665
Gráfico
tg(x)=1/2 la ecuación