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The number of real solutions of the equation1+cos2x=2sin−1(sinx)\sqrt { 1+\cos { 2x } } =\sqrt { 2 } \sin ^{ -1 }{ \left( \sin { x } \right) }1+cos2x=2sin−1(sinx) where −π≤x≤π-\pi \le x\le \pi −π≤x≤π.
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