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tg(x)=-1/2

tg(x)=-1/2 la ecuación

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Solución numérica:

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