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Solución de sistemas de ecuaciones/ sinx+siny=1/2; sinx*siny=1/2

sinx+siny=1/2; sinx*siny=1/2

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Gráfico:

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interior superior

Solución

Ha introducido [src] 
sin(x) + sin(y) = 1/2
sin⁡(x)+sin⁡(y)=12\sin{\left(x \right)} + \sin{\left(y \right)} = \frac{1}{2} 
sin(x)*sin(y) = 1/2
sin⁡(x)sin⁡(y)=12\sin{\left(x \right)} \sin{\left(y \right)} = \frac{1}{2} 
sin(x)*sin(y) = 1/2
Respuesta rápida
x1=π−asin⁡(14−7i4)x_{1} = \pi - \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}
=
π−asin⁡(14−7i4)\pi - \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}
=
2.93297596328064 + 0.632974319200947*i

y1=π−asin⁡(14+7i4)y_{1} = \pi - \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}
=
π−asin⁡(14+7i4)\pi - \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}
=
2.93297596328064 - 0.632974319200947*i
x2=π−asin⁡(14−7i4)x_{2} = \pi - \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}
=
π−asin⁡(14−7i4)\pi - \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}
=
2.93297596328064 + 0.632974319200947*i

y2=asin⁡(14+7i4)y_{2} = \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}
=
asin⁡(14+7i4)\operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}
=
0.208616690309149 + 0.632974319200947*i
x3=π−asin⁡(14+7i4)x_{3} = \pi - \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}
=
π−asin⁡(14+7i4)\pi - \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}
=
2.93297596328064 - 0.632974319200947*i

y3=π−asin⁡(14−7i4)y_{3} = \pi - \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}
=
π−asin⁡(14−7i4)\pi - \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}
=
2.93297596328064 + 0.632974319200947*i
x4=π−asin⁡(14+7i4)x_{4} = \pi - \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}
=
π−asin⁡(14+7i4)\pi - \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}
=
2.93297596328064 - 0.632974319200947*i

y4=asin⁡(14−7i4)y_{4} = \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}
=
asin⁡(14−7i4)\operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}
=
0.208616690309149 - 0.632974319200947*i
x5=asin⁡(14−7i4)x_{5} = \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}
=
asin⁡(14−7i4)\operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}
=
0.208616690309149 - 0.632974319200947*i

y5=π−asin⁡(14+7i4)y_{5} = \pi - \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}
=
π−asin⁡(14+7i4)\pi - \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}
=
2.93297596328064 - 0.632974319200947*i
x6=asin⁡(14−7i4)x_{6} = \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}
=
asin⁡(14−7i4)\operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}
=
0.208616690309149 - 0.632974319200947*i

y6=asin⁡(14+7i4)y_{6} = \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}
=
asin⁡(14+7i4)\operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}
=
0.208616690309149 + 0.632974319200947*i
x7=asin⁡(14+7i4)x_{7} = \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}
=
asin⁡(14+7i4)\operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}
=
0.208616690309149 + 0.632974319200947*i

y7=π−asin⁡(14−7i4)y_{7} = \pi - \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}
=
π−asin⁡(14−7i4)\pi - \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}
=
2.93297596328064 + 0.632974319200947*i
x8=asin⁡(14+7i4)x_{8} = \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}
=
asin⁡(14+7i4)\operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}
=
0.208616690309149 + 0.632974319200947*i

y8=asin⁡(14−7i4)y_{8} = \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}
=
asin⁡(14−7i4)\operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}
=
0.208616690309149 - 0.632974319200947*i
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