olymmath

AIME 1997 Problem 11

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Let x=∑n=144cos⁡n∘∑n=144sin⁡n∘x=\frac{\sum\limits_{n=1}^{44} \cos n^\circ}{\sum\limits_{n=1}^{44} \sin n^\circ}. What is the greatest integer that does not exceed 100x100x?

Dataset text AIME 1983 to 2026. Quoted with source.

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