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IMO LongList 1967, Hungary 3

Source: IMO LongList 1967, Hungary 3

December 16, 2004
trigonometryalgebraProductCalculateIMO ShortlistIMO Longlistcomplex numbers

Problem Statement

Without using tables, find the exact value of the product: P=∏k=17cos⁡(kπ15).P = \prod^7_{k=1} \cos \left(\frac{k \pi}{15} \right).
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