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AIME 2006a Problem 12

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Find the sum of the values of xx such that cos⁡33x+cos⁡35x=8cos⁡34xcos⁡3x\cos^3 3x+ \cos^3 5x = 8 \cos^3 4x \cos^3 x, where xx is measured in degrees and 100<x<200.100< x< 200.

Dataset text AIME 1983 to 2026. Quoted with source.

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