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9 sin x +40 cos x >=41 (V Soros Olympiad 1998-99 Round 2 11.1)

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May 25, 2024
algebrainequalitiestrigonometry

Problem Statement

Find all xx for which the inequality holds 9sin⁡x+40cos⁡x≥41.9 \sin x +40 \cos x \ge 41.
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