If \( \left(2^{n}+1\right) x=\pi \), then \( 2^{n} \cos x \cos 2 x \cos 2^{2} x \ldots \cos 2^{n...

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If \( \left(2^{n}+1\right) x=\pi \), then \( 2^{n} \cos x \cos 2 x \cos 2^{2} x \ldots \cos 2^{n-1} x= \)
(A) \( -1 \)
(B) 1
(C) \( 1 / 2 \)
(D) none of these
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