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tgx=-(3/4) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
tan(x) = -3/4
$$\tan{\left(x \right)} = - \frac{3}{4}$$
Solución detallada
Tenemos la ecuación
$$\tan{\left(x \right)} = - \frac{3}{4}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{atan}{\left(- \frac{3}{4} \right)}$$
O
$$x = \pi n - \operatorname{atan}{\left(\frac{3}{4} \right)}$$
, donde n es cualquier número entero
Gráfica
Suma y producto de raíces [src]
suma
-atan(3/4)
$$- \operatorname{atan}{\left(\frac{3}{4} \right)}$$
=
-atan(3/4)
$$- \operatorname{atan}{\left(\frac{3}{4} \right)}$$
producto
-atan(3/4)
$$- \operatorname{atan}{\left(\frac{3}{4} \right)}$$
=
-atan(3/4)
$$- \operatorname{atan}{\left(\frac{3}{4} \right)}$$
-atan(3/4)
Respuesta rápida [src]
x1 = -atan(3/4)
$$x_{1} = - \operatorname{atan}{\left(\frac{3}{4} \right)}$$
x1 = -atan(3/4)
Respuesta numérica [src]
x1 = -3.78509376238308
x2 = -91.7496880628973
x3 = 46.4803886950536
x4 = -25.7762423375116
x5 = -98.0328733700769
x6 = -50.90898356623
x7 = 18.2060548127455
x8 = 68.4715372701822
x9 = -69.7585394877687
x10 = 30.7724254271046
x11 = 77.8963152309515
x12 = -57.1921688734096
x13 = 74.7547225773617
x14 = -79.1833174485381
x15 = -28.9178349911014
x16 = 65.3299446165924
x17 = -41.4842056054606
x18 = 84.1795005381311
x19 = -44.6257982590504
x20 = -82.3249101021279
x21 = -101.174466023667
x22 = -13.2098717231525
x23 = -32.0594276446912
x24 = 2.49809154479651
x25 = -54.0505762198198
x26 = 37.0556107342842
x27 = -63.4753541805892
x28 = 40.197203387874
x29 = -16.3514643767422
x30 = -88.6080954093075
x31 = -94.8912807164871
x32 = -19.493057030332
x33 = 87.3210931917209
x34 = 49.6219813486434
x35 = 90.4626858453107
x36 = -38.3426129518708
x37 = -60.3337615269994
x38 = -72.9001321413585
x39 = -85.4665027557177
x40 = -0.643501108793284
x41 = 93.6042784989005
x42 = 81.0379078845413
x43 = 99.8874638060801
x44 = 96.7458711524903
x45 = 5.6396841983863
x46 = 59.0467593094128
x47 = -35.201020298281
x48 = 8.7812768519761
x49 = 71.613129923772
x50 = -47.7673909126402
x51 = 52.7635740022332
x52 = 11.9228695055659
x53 = -6.92668641597287
x54 = -66.6169468341789
x55 = 33.9140180806944
x56 = 15.0644621591557
x57 = 27.6308327735149
x58 = -76.0417247949483
x59 = -22.6346496839218
x60 = 43.3387960414638
x61 = -10.0682790695627
x62 = 21.3476474663353
x63 = 55.905166655823
x64 = 24.4892401199251
x65 = 62.1883519630026
x65 = 62.1883519630026