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USAMO 1981 Problem 3

  • Day 1

Show that for any triangle, 3(3)/2≥sin⁡3A+sin⁡3B+sin⁡3C≥−23(\sqrt{3}) / 2 \geq \sin 3 A+\sin 3 B+\sin 3 C \geq-2. When does equality hold?

Dataset text NuminaMath olympiads. Quoted with source.

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