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Solución de sistemas de ecuaciones/ sinx+cosy=1/2; sinx-cosy=-1/2

sinx+cosy=1/2; sinx-cosy=-1/2

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Gráfico:

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Solución

Ha introducido [src] 
sin(x) + cos(y) = 1/2
sin⁡(x)+cos⁡(y)=12\sin{\left(x \right)} + \cos{\left(y \right)} = \frac{1}{2} 
sin(x) - cos(y) = -1/2
sin⁡(x)−cos⁡(y)=−12\sin{\left(x \right)} - \cos{\left(y \right)} = - \frac{1}{2} 
sin(x) - cos(y) = -1/2
Respuesta rápida
x1=0x_{1} = 0
=
00
=
0

y1=π3y_{1} = \frac{\pi}{3}
=
π3\frac{\pi}{3}
=
1.04719755119660
x2=0x_{2} = 0
=
00
=
0

y2=5π3y_{2} = \frac{5 \pi}{3}
=
5π3\frac{5 \pi}{3}
=
5.23598775598299
x3=πx_{3} = \pi
=
π\pi
=
3.14159265358979

y3=π3y_{3} = \frac{\pi}{3}
=
π3\frac{\pi}{3}
=
1.04719755119660
x4=πx_{4} = \pi
=
π\pi
=
3.14159265358979

y4=5π3y_{4} = \frac{5 \pi}{3}
=
5π3\frac{5 \pi}{3}
=
5.23598775598299
Respuesta numérica [src] 
x1 = 6.283185307179586
y1 = 5.235987755982989
x2 = 3.141592653589793
y2 = 7.330382858376184
x3 = -6.283185307179586
y3 = 1.047197551196598
x4 = -3.141592653589793
y4 = 1.047197551196598
x5 = -9.42477796076938
y5 = -7.330382858376184
x6 = -9.42477796076938
y6 = 7.330382858376184
x7 = -6.283185307179586
y7 = 5.235987755982989
x8 = 3.141592653589793
y8 = 5.235987755982989
x9 = -9.42477796076938
y9 = 1.047197551196598
x10 = -9.42477796076938
y10 = -5.235987755982989
x11 = -9.42477796076938
y11 = 5.235987755982989
x12 = -6.283185307179586
y12 = -1.047197551196598
x13 = -6.283185307179586
y13 = 7.330382858376184
x14 = -3.141592653589793
y14 = 7.330382858376184
x15 = -3.141592653589793
y15 = -1.047197551196598
x16 = -6.283185307179586
y16 = -5.235987755982989
x17 = 9.42477796076938
y17 = 7.330382858376184
x18 = -9.42477796076938
y18 = -1.047197551196598
x19 = -3.141592653589793
y19 = 5.235987755982989
x20 = 6.283185307179586
y20 = 7.330382858376184
x21 = 3.141592653589793
y21 = 1.047197551196598
x21 = 3.141592653589793
y21 = 1.047197551196598
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