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cosx+siny=1; -sinx+cosy=0

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Gráfico:

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Solución

Ha introducido [src]
cos(x) + sin(y) = 1
$$\sin{\left(y \right)} + \cos{\left(x \right)} = 1$$
-sin(x) + cos(y) = 0
$$- \sin{\left(x \right)} + \cos{\left(y \right)} = 0$$
-sin(x) + cos(y) = 0
Respuesta rápida
$$x_{1} = \frac{\pi}{3}$$
=
$$\frac{\pi}{3}$$
=
1.04719755119660

$$y_{1} = \frac{\pi}{6}$$
=
$$\frac{\pi}{6}$$
=
0.523598775598299
$$x_{2} = \frac{5 \pi}{3}$$
=
$$\frac{5 \pi}{3}$$
=
5.23598775598299

$$y_{2} = \frac{5 \pi}{6}$$
=
$$\frac{5 \pi}{6}$$
=
2.61799387799149
Respuesta numérica [src]
x1 = -5.235987755982989
y1 = -5.759586531581288
x2 = -1.047197551196598
y2 = 8.901179185171081
x3 = -1.047197551196598
y3 = -3.665191429188092
x4 = -13.61356816566459
y4 = -16.23156204357871
x5 = -7.330382858376184
y5 = -3.665191429188092
x6 = -1.047197551196598
y6 = 2.617993877991494
x7 = -11.51917306316258
y7 = 6.806784082777885
x8 = -30.36872898470131
y8 = 19.37315469713707
x9 = -13.61356816555577
y9 = 8.901179185171081
x10 = 11.51917306316258
y10 = 8.901179185171081
x11 = -7.330382858376184
y11 = 8.901179185171081
x12 = -11.51917306316258
y12 = -5.759586531581288
x13 = -5.235987755982989
y13 = 6.806784082777885
x14 = 1.047197551196598
y14 = 6.806784082777885
x15 = -11.51917306316258
y15 = 0.5235987755982989
x16 = 7.330382858376184
y16 = 6.806784082777885
x17 = -13.61356816555577
y17 = 27.75073510670984
x18 = -19.89675347273536
y18 = 21.46754979953025
x19 = 5.235987755982989
y19 = 8.901179185171081
x19 = 5.235987755982989
y19 = 8.901179185171081