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TrigonometryHardTrigonometric Equations

Trigonometric Equations · Hard problem

Solve cos⁡2x+cos⁡x=0\cos 2x+\cos x=0 on [0,2π)[0,2\pi). (Hint: cos⁡2x=2cos⁡2x−1\cos 2x=2\cos^2 x-1.)