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Solución de sistemas de ecuaciones/ sinx+siny=1; cosx-cosy=0

sinx+siny=1; cosx-cosy=0

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Gráfico:

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Solución

Ha introducido [src] 
sin(x) + sin(y) = 1
sin⁡(x)+sin⁡(y)=1\sin{\left(x \right)} + \sin{\left(y \right)} = 1 
cos(x) - cos(y) = 0
cos⁡(x)−cos⁡(y)=0\cos{\left(x \right)} - \cos{\left(y \right)} = 0 
cos(x) - cos(y) = 0
Respuesta rápida
x1=π6x_{1} = \frac{\pi}{6}
=
π6\frac{\pi}{6}
=
0.523598775598299

y1=π6y_{1} = \frac{\pi}{6}
=
π6\frac{\pi}{6}
=
0.523598775598299
x2=5π6x_{2} = \frac{5 \pi}{6}
=
5π6\frac{5 \pi}{6}
=
2.61799387799149

y2=5π6y_{2} = \frac{5 \pi}{6}
=
5π6\frac{5 \pi}{6}
=
2.61799387799149
Respuesta numérica [src] 
x1 = -3.665191429188092
y1 = 8.901179185171081
x2 = -22.51474735072685
y2 = 8.901179185171081
x3 = -16.23156204354727
y3 = -9.948376736367678
x4 = -5.759586531573088
y4 = 0.5235987755694429
x5 = 8.901179185171081
y5 = 8.901179185171081
x6 = -9.948376736367678
y6 = -9.948376736367678
x7 = 6.806784082777885
y7 = 6.806784082777885
x8 = -5.759586531581288
y8 = 0.5235987755982989
x9 = -12.04277183876087
y9 = 6.806784082777885
x10 = 2.617993877991494
y10 = 2.617993877991494
x11 = 13.08996938995747
y11 = 19.37315469713706
x12 = 2.617993877991494
y12 = 8.901179185171081
x13 = -5.759586531581288
y13 = -5.759586531581288
x14 = -12.04277183876087
y14 = 19.37315469713706
x15 = -9.948376736367678
y15 = 2.617993877991494
x15 = -9.948376736367678
y15 = 2.617993877991494
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