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

Source:

August 5, 2019
trigonometryinequalitiesalgebra

Problem Statement

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.
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