Quirky trigo

Geometry Level 4

What is the general solution of the equation \[\dfrac {1-\sin x+\ldots+(-1)^{n}\sin^{n} x+\ldots\infty}{1+\sin x+\ldots+\sin^{n} x+\ldots \infty}=\dfrac {1-\cos 2x }{1+\cos 2x}\]

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