MathDB

403

Part of 1985 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 403 All Soviet Union MO 1985 sin(x)-sin(y)| + sin(x)sin(y)<= 0

Source:

8/5/2019
Find all the pairs (x,y)(x,y) such that ∣sin⁡x−sin⁡y∣+sin⁡xsin⁡y≤0|\sin x-\sin y| + \sin x \sin y \le 0.
trigonometryinequalitiesalgebra