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trig equation (Ukraine 1999 Grade 10 P1)

Source:

May 11, 2021
trigonometryalgebra

Problem Statement

Solve the equation sin⁡xsin⁡2xsin⁡3x+cos⁡xcos⁡2xcos⁡3x=1\sin x\sin2x\sin3x+\cos x\cos2x\cos3x=1.
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