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Solución de sistemas de ecuaciones/ tgx=a; tg3x=-a

tgx=a; tg3x=-a

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Gráfico:

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Solución

Ha introducido [src] 
tan(x) = a
tan⁡(x)=a\tan{\left(x \right)} = a 
tan(3*x) = -a
tan⁡(3x)=−a\tan{\left(3 x \right)} = - a 
tan(3*x) = -a
Respuesta rápida
a1=−1a_{1} = -1
=
−1-1
=
-1

x1=−π4x_{1} = - \frac{\pi}{4}
=
−π4- \frac{\pi}{4}
=
-0.785398163397448
a2=−1a_{2} = -1
=
−1-1
=
-1

x2=3π4x_{2} = \frac{3 \pi}{4}
=
3π4\frac{3 \pi}{4}
=
2.35619449019234
a3=0a_{3} = 0
=
00
=
0

x3=0x_{3} = 0
=
00
=
0
a4=0a_{4} = 0
=
00
=
0

x4=πx_{4} = \pi
=
π\pi
=
3.14159265358979
a5=1a_{5} = 1
=
11
=
1

x5=−3π4x_{5} = - \frac{3 \pi}{4}
=
−3π4- \frac{3 \pi}{4}
=
-2.35619449019234
a6=1a_{6} = 1
=
11
=
1

x6=π4x_{6} = \frac{\pi}{4}
=
π4\frac{\pi}{4}
=
0.785398163397448
Respuesta numérica [src] 
a1 = 2.646977960169689e-23
x1 = -6.283185307179586
a2 = -1.0
x2 = 2.356194490192345
a3 = 1.0
x3 = -2.356194490192345
a4 = -1.0
x4 = -10.21017612416683
a5 = 1.0
x5 = 10.21017612416683
a6 = -2.646977960169689e-23
x6 = 6.283185307179586
a6 = -2.646977960169689e-23
x6 = 6.283185307179586
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