The number of real solutions of the equation ,

MATHEMATICS · Subjective · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

The number of real solutions of the equation 1+cos⁡2x=2 sin⁡−1(sin⁡x)\sqrt{1 + \cos 2x} = \sqrt{2}\,\sin^{-1}(\sin x), −π≤x≤π-\pi \le x \le \pi, is

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