The number of real solutions of the equation \( \sqrt{1+\cos 2 x}=\sqrt{2} \) \( \sin ^{-1}(\sin...

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The number of real solutions of the equation \( \sqrt{1+\cos 2 x}=\sqrt{2} \) \( \sin ^{-1}(\sin x),-\pi \leq x \leq \pi \), is
(a) 0
(b) 1
(c) 2
(d) None of these
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