Question 24
Let $S$ be the set of all points $(x, y)$ in the coordinate plane such that $0 \le x \le \dfrac{\pi}{2}$ and $0 \le y \le \dfrac{\pi}{2}.$ What is the area of the subset of $S$ for which $$
\sin^2 x - \sin x \sin y + \sin^2 y \le \frac{3}{4}?
$$
\sin^2 x - \sin x \sin y + \sin^2 y \le \frac{3}{4}?
$$