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2014 Algebra Tiebreaker #3

Source:

July 9, 2022
2014Algebra Tiebreaker

Problem Statement

Compute sin(π9)sin(2π9)sin(4π9).\sin\left(\frac{\pi}{9}\right)\sin\left(\frac{2\pi}{9}\right)\sin\left(\frac{4\pi}{9}\right).