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sinx cos^2 y +sin y cos^2 x =0 (IV Soros Olympiad 1997-98 R2 11.3)

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June 1, 2024
trigonometryanalytic geometry

Problem Statement

Draw on the coordinate plane the set of points whose coordinates satisfy the equation sinxcos2y+sinycos2x=0\sin x \cos^2 y +\sin y \cos^2 x =0