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Solución de sistemas de ecuaciones/ sinx*siny=√3/4; cosx*cosy=√3/4

sinx*siny=√3/4; cosx*cosy=√3/4

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Gráfico:

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Solución

Ha introducido [src] 
                  ___
                \/ 3 
sin(x)*sin(y) = -----
                  4
sin⁡(x)sin⁡(y)=34\sin{\left(x \right)} \sin{\left(y \right)} = \frac{\sqrt{3}}{4} 
                  ___
                \/ 3 
cos(x)*cos(y) = -----
                  4
cos⁡(x)cos⁡(y)=34\cos{\left(x \right)} \cos{\left(y \right)} = \frac{\sqrt{3}}{4} 
cos(x)*cos(y) = sqrt(3)/4
Respuesta rápida
x1=−π3x_{1} = - \frac{\pi}{3}
=
−π3- \frac{\pi}{3}
=
-1.04719755119660

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

y2=−π3y_{2} = - \frac{\pi}{3}
=
−π3- \frac{\pi}{3}
=
-1.04719755119660
x3=π6x_{3} = \frac{\pi}{6}
=
π6\frac{\pi}{6}
=
0.523598775598299

y3=π3y_{3} = \frac{\pi}{3}
=
π3\frac{\pi}{3}
=
1.04719755119660
x4=π3x_{4} = \frac{\pi}{3}
=
π3\frac{\pi}{3}
=
1.04719755119660

y4=π6y_{4} = \frac{\pi}{6}
=
π6\frac{\pi}{6}
=
0.523598775598299
x5=2π3x_{5} = \frac{2 \pi}{3}
=
2π3\frac{2 \pi}{3}
=
2.09439510239320

y5=5π6y_{5} = \frac{5 \pi}{6}
=
5π6\frac{5 \pi}{6}
=
2.61799387799149
x6=5π6x_{6} = \frac{5 \pi}{6}
=
5π6\frac{5 \pi}{6}
=
2.61799387799149

y6=2π3y_{6} = \frac{2 \pi}{3}
=
2π3\frac{2 \pi}{3}
=
2.09439510239320
x7=7π6x_{7} = \frac{7 \pi}{6}
=
7π6\frac{7 \pi}{6}
=
3.66519142918809

y7=−2π3y_{7} = - \frac{2 \pi}{3}
=
−2π3- \frac{2 \pi}{3}
=
-2.09439510239320
x8=4π3x_{8} = \frac{4 \pi}{3}
=
4π3\frac{4 \pi}{3}
=
4.18879020478639

y8=−5π6y_{8} = - \frac{5 \pi}{6}
=
−5π6- \frac{5 \pi}{6}
=
-2.61799387799149
Respuesta numérica [src] 
x1 = 7.330382858376184
y1 = 13.08996938995747
x2 = -9.948376736367678
y2 = 14.66076571675237
x3 = -8.901179185171081
y3 = -2.094395102393195
x4 = -5.759586531581288
y4 = 1.047197551196598
x5 = -2.094395102393195
y5 = 9.948376736367678
x6 = -13.08996938995747
y6 = -7.330382858376184
x7 = -6.806784082777885
y7 = -1.047197551196598
x8 = 2.094395102393195
y8 = 8.901179185171081
x9 = -1.047197551196598
y9 = 5.759586531581288
x10 = -9.948376736367678
y10 = 2.094395102393195
x11 = -14.66076571675237
y11 = 9.948376736367678
x12 = 1.047197551196598
y12 = 6.806784082777885
x12 = 1.047197551196598
y12 = 6.806784082777885
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