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11.9

Part of VI Soros Olympiad 1999 - 2000 (Russia)

Problems(1)

sin a + sin (a m ) >= c - VI Soros Olympiad 1999-00 Round 1 11.9

Source:

5/21/2024
Find the largest cc such that for any λ≥1\lambda \ge 1 there is an a that satisfies the inequality
sin⁡a+sin⁡(aλ)≥c.\sin a + \sin (a\lambda ) \ge c.
algebrainequalitiestrigonometry