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tg(x-6)=1/125 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
tan(x - 6) = 1/125
$$\tan{\left(x - 6 \right)} = \frac{1}{125}$$
Solución detallada
Tenemos la ecuación
$$\tan{\left(x - 6 \right)} = \frac{1}{125}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x - 6 = \pi n + \operatorname{atan}{\left(\frac{1}{125} \right)}$$
O
$$x - 6 = \pi n + \operatorname{atan}{\left(\frac{1}{125} \right)}$$
, donde n es cualquier número entero
Transportemos
$$-6$$
al miembro derecho de la ecuación
con el signo opuesto, en total:
$$x = \pi n + \operatorname{atan}{\left(\frac{1}{125} \right)} + 6$$
Gráfica
Suma y producto de raíces [src]
suma
6 + atan(1/125)
$$\operatorname{atan}{\left(\frac{1}{125} \right)} + 6$$
=
6 + atan(1/125)
$$\operatorname{atan}{\left(\frac{1}{125} \right)} + 6$$
producto
6 + atan(1/125)
$$\operatorname{atan}{\left(\frac{1}{125} \right)} + 6$$
=
6 + atan(1/125)
$$\operatorname{atan}{\left(\frac{1}{125} \right)} + 6$$
6 + atan(1/125)
Respuesta rápida [src]
x1 = 6 + atan(1/125)
$$x_{1} = \operatorname{atan}{\left(\frac{1}{125} \right)} + 6$$
x1 = atan(1/125) + 6
Respuesta numérica [src]
x1 = -81.9565944711743
x2 = 100.255779437034
x3 = 15.4327777901093
x4 = 53.1318896331868
x5 = -63.1070385496356
x6 = -88.2397797783539
x7 = 27.9991484044684
x8 = 90.8310014762643
x9 = -19.1247413993785
x10 = -66.2486312032254
x11 = -100.806150392713
x12 = -22.2663340529683
x13 = 2.86640717575009
x14 = 97.1141867834439
x15 = -6.55837078501929
x16 = -53.6822605888662
x17 = -0.2751854778397
x18 = 6.00799982933989
x19 = 46.8487043260072
x20 = -85.0981871247641
x21 = 65.698260247546
x22 = 18.5743704436991
x23 = 59.4150749403664
x24 = -3.41677813142949
x25 = 71.9814455547255
x26 = 49.990296979597
x27 = 31.1407410580582
x28 = -78.8150018175845
x29 = 56.2734822867766
x30 = -44.2574826280968
x31 = 43.7071116724174
x32 = 21.7159630972889
x33 = -56.823853242456
x34 = -41.115889974507
x35 = -94.5229650855335
x36 = 40.5655190188276
x37 = 93.9725941298541
x38 = 37.4239263652378
x39 = 84.5478161690847
x40 = 24.8575557508786
x41 = -72.531816510405
x42 = -50.5406679352764
x43 = 12.2911851365195
x44 = -15.9831487457887
x45 = -47.3990752816866
x46 = -97.6645577391233
x47 = -75.6734091639947
x48 = -59.9654458960458
x49 = -34.8327046673274
x50 = -31.6911120137376
x51 = 81.4062235154949
x52 = 9.14959248292968
x53 = -12.8415560921989
x54 = 75.1230382083153
x55 = 68.8398529011358
x56 = -91.3813724319437
x57 = 62.5566675939562
x58 = 34.282333711648
x59 = -69.3902238568152
x60 = -37.9742973209172
x61 = 87.6894088226745
x62 = -25.407926706558
x63 = -9.69996343860908
x64 = -28.5495193601478
x65 = 78.2646308619051
x65 = 78.2646308619051