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For all \( n \in N, \cos \alpha \cos 2 \alpha \cos 4 \alpha \ldots \cos \left(2^{n-1} \alpha\right) \) is equal to \( (\alpha \neq n \pi) \)
(a) \( \frac{\sin \left(2^{n} \alpha\right)}{2 \sin \alpha} \)
(b) \( \frac{\sin \left(2^{n} \alpha\right)}{2^{n} \sin \alpha} \)
(c) \( \frac{\cos \left(2^{n} \alpha\right)}{2^{n} \cos \alpha} \)
(d) \( \frac{\cos \left(2^{n} \alpha\right)}{2^{n-1} \cos \alpha} \)
\( \mathrm{W} \)
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