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

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The number of real solutions of the equation \( \sqrt{1+\cos 2 x}=\sqrt{2} \cos ^{-1}(\cos x) \) in \( \left[\frac{\pi}{2}, \pi\right] \) is
P
W
(A) 0
(B) 1
(C) 2
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