MK-MO 1996 Problem 3

Prove that if $\alpha, \beta, \gamma$ are angles of a triangle, then $\frac{1}{\sin \alpha}+ \frac{1}{\sin \beta} \ge \frac{8}{ 3+2 \ cos\gamma}$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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