Find all pairs of numbers $x, y \in \left( 0, \frac{\pi}{2}\right)$ , satisfying the equality $$\sin x + \sin y = \sin (xy)$$
Source:
Tags: trigonometry, algebra
Find all pairs of numbers $x, y \in \left( 0, \frac{\pi}{2}\right)$ , satisfying the equality $$\sin x + \sin y = \sin (xy)$$