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Solución de sistemas de ecuaciones/ cosx+cosy=0,5; cosx*cosy=-0,5

cosx+cosy=0,5; cosx*cosy=-0,5

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Gráfico:

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Solución

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

y1=2π3y_{1} = \frac{2 \pi}{3}
=
2π3\frac{2 \pi}{3}
=
2.09439510239320
x2=0x_{2} = 0
=
00
=
0

y2=4π3y_{2} = \frac{4 \pi}{3}
=
4π3\frac{4 \pi}{3}
=
4.18879020478639
x3=2π3x_{3} = \frac{2 \pi}{3}
=
2π3\frac{2 \pi}{3}
=
2.09439510239320

y3=0y_{3} = 0
=
00
=
0
x4=2π3x_{4} = \frac{2 \pi}{3}
=
2π3\frac{2 \pi}{3}
=
2.09439510239320

y4=2πy_{4} = 2 \pi
=
2π2 \pi
=
6.28318530717959
x5=4π3x_{5} = \frac{4 \pi}{3}
=
4π3\frac{4 \pi}{3}
=
4.18879020478639

y5=0y_{5} = 0
=
00
=
0
x6=4π3x_{6} = \frac{4 \pi}{3}
=
4π3\frac{4 \pi}{3}
=
4.18879020478639

y6=2πy_{6} = 2 \pi
=
2π2 \pi
=
6.28318530717959
x7=2πx_{7} = 2 \pi
=
2π2 \pi
=
6.28318530717959

y7=2π3y_{7} = \frac{2 \pi}{3}
=
2π3\frac{2 \pi}{3}
=
2.09439510239320
x8=2πx_{8} = 2 \pi
=
2π2 \pi
=
6.28318530717959

y8=4π3y_{8} = \frac{4 \pi}{3}
=
4π3\frac{4 \pi}{3}
=
4.18879020478639
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