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TrigonometrySuperchallengeTrigonometric Equations

Trigonometric Equations · Superchallenge problem

Solve the system sin⁡x+sin⁡y=1\sin x+\sin y=1 and cos⁡x+cos⁡y=1\cos x+\cos y=1 for x,y∈[0,2π)x,y\in[0,2\pi).