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tgx=-a; tg3x=a

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Solución

Ha introducido [src]
tan(x) = -a
$$\tan{\left(x \right)} = - a$$
tan(3*x) = a
$$\tan{\left(3 x \right)} = a$$
tan(3*x) = a
Respuesta rápida
$$a_{1} = -1$$
=
$$-1$$
=
-1

$$x_{1} = - \frac{3 \pi}{4}$$
=
$$- \frac{3 \pi}{4}$$
=
-2.35619449019234
$$a_{2} = -1$$
=
$$-1$$
=
-1

$$x_{2} = \frac{\pi}{4}$$
=
$$\frac{\pi}{4}$$
=
0.785398163397448
$$a_{3} = 0$$
=
$$0$$
=
0

$$x_{3} = 0$$
=
$$0$$
=
0
$$a_{4} = 0$$
=
$$0$$
=
0

$$x_{4} = \pi$$
=
$$\pi$$
=
3.14159265358979
$$a_{5} = 1$$
=
$$1$$
=
1

$$x_{5} = - \frac{\pi}{4}$$
=
$$- \frac{\pi}{4}$$
=
-0.785398163397448
$$a_{6} = 1$$
=
$$1$$
=
1

$$x_{6} = \frac{3 \pi}{4}$$
=
$$\frac{3 \pi}{4}$$
=
2.35619449019234
Respuesta numérica [src]
a1 = -1.0
x1 = -2.356194490192345
a2 = 1.0
x2 = -10.21017612416683
a3 = 2.646977960169689e-23
x3 = 6.283185307179586
a4 = -1.0
x4 = 10.21017612416683
a5 = 1.0
x5 = 2.356194490192345
a6 = -2.646977960169689e-23
x6 = -6.283185307179586
a6 = -2.646977960169689e-23
x6 = -6.283185307179586