olymmath

USAMO 1996 Problem 1

  • Day 1

Prove that the average of the numbers nsin⁡n∘(n=2,4,6,…,180)n \sin n^{\circ} (n = 2,4,6,\ldots,180) is cot⁡1∘\cot 1^{\circ} .

Dataset text AI-MO AoPS. Quoted with source.

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