Question

If $\frac{sin(x)}{sin(y)}=\frac{1}{2}$ and $\frac{cos(x)}{cos(y)}=\frac{3}{2}$, where $x, y$∈$(0, \frac{\pi }{2})$ then what is the value of $\sqrt{8+sec^2(y)}$?

Answer 1

Please see the attachment