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TrigonometrySuperchallengeTrigonometric Equations

Trigonometric Equations · Superchallenge problem

Find the sum of all solutions of sin⁡x−cos⁡x+4sin⁡xcos⁡x=1\sin x - \cos x + 4\sin x\cos x = 1 in the interval [0,2π)[0, 2\pi).