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sinx-siny=0,5; cosx-cosy=-3/2

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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}
cos(x) - cos(y) = -3/2
cos(x)cos(y)=32\cos{\left(x \right)} - \cos{\left(y \right)} = - \frac{3}{2}
cos(x) - cos(y) = -3/2
Respuesta rápida
x1=πasin(1431520)x_{1} = \pi - \operatorname{asin}{\left(\frac{1}{4} - \frac{3 \sqrt{15}}{20} \right)}
=
πasin(1431520)\pi - \operatorname{asin}{\left(\frac{1}{4} - \frac{3 \sqrt{15}}{20} \right)}
=
3.47890013501956

y1=2atan(211+1511)y_{1} = - 2 \operatorname{atan}{\left(\frac{2}{11} + \frac{\sqrt{15}}{11} \right)}
=
2atan(211+1511)- 2 \operatorname{atan}{\left(\frac{2}{11} + \frac{\sqrt{15}}{11} \right)}
=
-0.980808590223051
x2=πasin(14+31520)x_{2} = \pi - \operatorname{asin}{\left(\frac{1}{4} + \frac{3 \sqrt{15}}{20} \right)}
=
πasin(14+31520)\pi - \operatorname{asin}{\left(\frac{1}{4} + \frac{3 \sqrt{15}}{20} \right)}
=
2.16078406336674

y2=2atan(2111511)y_{2} = - 2 \operatorname{atan}{\left(\frac{2}{11} - \frac{\sqrt{15}}{11} \right)}
=
2atan(2111511)- 2 \operatorname{atan}{\left(\frac{2}{11} - \frac{\sqrt{15}}{11} \right)}
=
0.337307481429767
Respuesta numérica [src]
x1 = 2.160784063366742
y1 = 12.90367809578894
x2 = -9.087470479339613
y2 = 11.58556202413612
x3 = -10.40558655099243
y3 = 0.3373074814297668
x4 = -4.122401243812844
y4 = 0.3373074814297668
x5 = -4.122401243812844
y5 = 6.620492788609353
x6 = -16.68877185817202
y6 = 19.18686340296853
x7 = -10.40558655099243
y7 = -5.94587782574982
x8 = 22.32845605655832
y8 = 30.43511794567488
x9 = -2.804285172160026
y9 = 5.302376716956535
x10 = 3.47890013501956
y10 = 11.58556202413612
x11 = 2.160784063366742
y11 = 6.620492788609353
x12 = -10.40558655099243
y12 = 6.620492788609353
x13 = -9.087470479339613
y13 = -0.9808085902230512
x13 = -9.087470479339613
y13 = -0.9808085902230512