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Solución de sistemas de ecuaciones/ sinx-siny=1; sin^2(x)+cos^2(y)=1

sinx-siny=1; sin^2(x)+cos^2(y)=1

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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 
   2         2       
sin (x) + cos (y) = 1
sin⁡2(x)+cos⁡2(y)=1\sin^{2}{\left(x \right)} + \cos^{2}{\left(y \right)} = 1 
sin(x)^2 + cos(y)^2 = 1
Respuesta rápida
x1=π6x_{1} = \frac{\pi}{6}
=
π6\frac{\pi}{6}
=
0.523598775598299

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

y2=−π6y_{2} = - \frac{\pi}{6}
=
−π6- \frac{\pi}{6}
=
-0.523598775598299
x3=5π6x_{3} = \frac{5 \pi}{6}
=
5π6\frac{5 \pi}{6}
=
2.61799387799149

y3=−5π6y_{3} = - \frac{5 \pi}{6}
=
−5π6- \frac{5 \pi}{6}
=
-2.61799387799149
x4=5π6x_{4} = \frac{5 \pi}{6}
=
5π6\frac{5 \pi}{6}
=
2.61799387799149

y4=−π6y_{4} = - \frac{\pi}{6}
=
−π6- \frac{\pi}{6}
=
-0.523598775598299
Respuesta numérica [src] 
x1 = -5.759586531581288
y1 = -2.617993877991494
x2 = -9.948376736367678
y2 = 3.665191429188092
x3 = -18.32595714594046
y3 = -50.78908123303499
x4 = 6.806784082777885
y4 = 9.948376736367678
x5 = -9.948376736367678
y5 = 9.948376736367678
x6 = -5.759586531581288
y6 = 9.948376736367678
x7 = -9.948376736367678
y7 = -2.617993877991494
x8 = 50.78908123303499
y8 = 18.32595714594046
x9 = -3.665191429188092
y9 = 9.948376736367678
x10 = -9.948376736367678
y10 = -6.806784082777885
x11 = -5.759586531581288
y11 = 5.759586531581288
x12 = 2.617993877991494
y12 = 5.759586531581288
x13 = 2.617993877991494
y13 = 9.948376736367678
x14 = -9.948376736367678
y14 = 5.759586531581288
x14 = -9.948376736367678
y14 = 5.759586531581288
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