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TrigonometrySuperchallengeTrigonometric Equations

Trigonometric Equations · Superchallenge problem

Find the sum of all solutions of sin⁡x+3cos⁡x=2+2sin⁡2x\sin x + \sqrt3\cos x = \sqrt{2 + 2\sin 2x} in the interval [0,2π)[0, 2\pi).