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Putnam 1956 B4

Source: Putnam 1956

July 5, 2022
Putnamtrigonometryinequalities

Problem Statement

Prove that if A,B,A,B, and CC are angles of a triangle measured in radians then Acos⁡B+sin⁡Acos⁡C>0.A \cos B +\sin A \cos C >0.
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