MathDB

11.1

Part of 2005 All-Russian Olympiad Regional Round

Problems(1)

sin x + sin y = sin(xy) All-Russian MO 2005 Regional 11.1

Source:

8/26/2024
Find all pairs of numbers x,y∈(0,π2)x, y \in \left( 0, \frac{\pi}{2}\right) , satisfying the equality sin⁡x+sin⁡y=sin⁡(xy)\sin x + \sin y = \sin (xy)
trigonometryalgebra