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PAMO 2000 Problem 1

  • Day 1

Solve for x∈Rx \in R : sin⁡3x(1+cot⁡x)+cos⁡3x(1+tan⁡x)=cos⁡2x\sin^3{x}(1+\cot{x})+\cos^3{x}(1+\tan{x})=\cos{2x}

Dataset text AI-MO AoPS. Quoted with source.

Official text: Pan-African Mathematics Olympiad 2000 official paper, page 1.

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