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sinx + arcsinx > 2x (V Soros Olympiad 1998-99 Round 3 11.7)

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May 26, 2024
inequalitiesalgebratrigonometry

Problem Statement

Prove that for all positive and admissible values of xx the following inequality holds: sin⁡x+arcsin⁡x>2x\sin x + arc \sin x>2x
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