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IMO LongList 1967, Romania 1

Source: IMO LongList 1967, Romania 1

December 16, 2004
trigonometryalgebraTrigonometric EquationsfactorizationIMO ShortlistIMO Longlist

Problem Statement

Decompose the expression into real factors: E=1sin5(x)cos5(x).E = 1 - \sin^5(x) - \cos^5(x).