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IMO 1961 Problem 3

  • Day 1

Solve the equation cos⁡nx−sin⁡nx=1\cos^n{x}-\sin^n{x}=1 where nn is a natural number.

Dataset text AI-MO AoPS. Quoted with source.

Official text: IMO 1961 official English paper, page 1.

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Locator imo/1961/p3 · Tag TEHZPC6D17 · Edit this page on GitHub · Keys: j next, k previous