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TrigonometryHardTrigonometric Equations

Trigonometric Equations · Hard problem

Solve sin⁡2x=3cos⁡x\sin 2x=\sqrt{3}\cos x on [0,2π)[0,2\pi). (Hint: sin⁡2x=2sin⁡xcos⁡x\sin 2x=2\sin x\cos x.)