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tgx=0; x+y=π/4

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Gráfico:

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Solución

Ha introducido [src]
tan(x) = 0
$$\tan{\left(x \right)} = 0$$
        pi
x + y = --
        4 
$$x + y = \frac{\pi}{4}$$
x + y = pi/4
Respuesta rápida
$$x_{1} = 0$$
=
$$0$$
=
0

$$y_{1} = \frac{\pi}{4}$$
=
$$\frac{\pi}{4}$$
=
0.785398163397448
Respuesta numérica [src]
x1 = -6.283185307179586
y1 = 7.068583470577035
x2 = 9.42477796076938
y2 = -8.639379797371932
x3 = 3.141592653589793
y3 = -2.356194490192345
x4 = 6.283185307179586
y4 = -5.497787143782138
x5 = -9.42477796076938
y5 = 10.21017612416683
x6 = -3.141592653589793
y6 = 3.926990816987242
x6 = -3.141592653589793
y6 = 3.926990816987242