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tgx+tgy=1; cosx×cosy=1/sqrt2

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Gráfico:

interior superior

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Solución

Ha introducido [src]
tan(x) + tan(y) = 1
tan(x)+tan(y)=1\tan{\left(x \right)} + \tan{\left(y \right)} = 1
                  1  
cos(x)*cos(y) = -----
                  ___
                \/ 2 
cos(x)cos(y)=12\cos{\left(x \right)} \cos{\left(y \right)} = \frac{1}{\sqrt{2}}
cos(x)*cos(y) = 1/(sqrt(2))
Respuesta rápida
x1=π4x_{1} = \frac{\pi}{4}
=
π4\frac{\pi}{4}
=
0.785398163397448

y1=0y_{1} = 0
=
00
=
0
Respuesta numérica [src]
x1 = -33.77212102609028
y1 = 3.141592653589793
x2 = -5.497787143782138
y2 = 6.283185307179586
x3 = -9.42477796076938
y3 = -2.356194490192345
x4 = -8.639379797371932
y4 = -15.70796326794897
x5 = 3.141592653589793
y5 = 10.21017612416683
x6 = -9.42477796076938
y6 = 10.21017612416683
x7 = -18.84955592153876
y7 = 19.63495408493621
x8 = -18.84955592153876
y8 = 57.33406592801373
x9 = -2.356194490192345
y9 = 9.42477796076938
x10 = -2.356194490192345
y10 = 3.141592653589793
x10 = -2.356194490192345
y10 = 3.141592653589793