Sr Examen
sinx+siny=1/2; sinx*siny=1/2
Solución
Ha introducido
[src]
sin(x) + sin(y) = 1/2
$$\sin{\left(x \right)} + \sin{\left(y \right)} = \frac{1}{2}$$
sin(x)*sin(y) = 1/2
$$\sin{\left(x \right)} \sin{\left(y \right)} = \frac{1}{2}$$
sin(x)*sin(y) = 1/2
Respuesta rápida
$$x_{1} = \pi - \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}$$
=
$$\pi - \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}$$
=
$$y_{1} = \pi - \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}$$
=
$$\pi - \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}$$
=
=
$$\pi - \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}$$
=
2.93297596328064 + 0.632974319200947*i
$$y_{1} = \pi - \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}$$
=
$$\pi - \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}$$
=
2.93297596328064 - 0.632974319200947*i
$$x_{2} = \pi - \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}$$
=
$$\pi - \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}$$
=
$$y_{2} = \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}$$
=
$$\operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}$$
=
=
$$\pi - \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}$$
=
2.93297596328064 + 0.632974319200947*i
$$y_{2} = \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}$$
=
$$\operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}$$
=
0.208616690309149 + 0.632974319200947*i
$$x_{3} = \pi - \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}$$
=
$$\pi - \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}$$
=
$$y_{3} = \pi - \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}$$
=
$$\pi - \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}$$
=
=
$$\pi - \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}$$
=
2.93297596328064 - 0.632974319200947*i
$$y_{3} = \pi - \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}$$
=
$$\pi - \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}$$
=
2.93297596328064 + 0.632974319200947*i
$$x_{4} = \pi - \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}$$
=
$$\pi - \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}$$
=
$$y_{4} = \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}$$
=
$$\operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}$$
=
=
$$\pi - \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}$$
=
2.93297596328064 - 0.632974319200947*i
$$y_{4} = \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}$$
=
$$\operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}$$
=
0.208616690309149 - 0.632974319200947*i
$$x_{5} = \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}$$
=
$$\operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}$$
=
$$y_{5} = \pi - \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}$$
=
$$\pi - \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}$$
=
=
$$\operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}$$
=
0.208616690309149 - 0.632974319200947*i
$$y_{5} = \pi - \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}$$
=
$$\pi - \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}$$
=
2.93297596328064 - 0.632974319200947*i
$$x_{6} = \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}$$
=
$$\operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}$$
=
$$y_{6} = \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}$$
=
$$\operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}$$
=
=
$$\operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}$$
=
0.208616690309149 - 0.632974319200947*i
$$y_{6} = \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}$$
=
$$\operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}$$
=
0.208616690309149 + 0.632974319200947*i
$$x_{7} = \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}$$
=
$$\operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}$$
=
$$y_{7} = \pi - \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}$$
=
$$\pi - \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}$$
=
=
$$\operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}$$
=
0.208616690309149 + 0.632974319200947*i
$$y_{7} = \pi - \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}$$
=
$$\pi - \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}$$
=
2.93297596328064 + 0.632974319200947*i
$$x_{8} = \operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}$$
=
$$\operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}$$
=
$$y_{8} = \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}$$
=
$$\operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}$$
=
=
$$\operatorname{asin}{\left(\frac{1}{4} + \frac{\sqrt{7} i}{4} \right)}$$
=
0.208616690309149 + 0.632974319200947*i
$$y_{8} = \operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}$$
=
$$\operatorname{asin}{\left(\frac{1}{4} - \frac{\sqrt{7} i}{4} \right)}$$
=
0.208616690309149 - 0.632974319200947*i