Let \( P=\cos (A+B+C)+\cos (-A+B+C)+\cos (A-B+C) \) \( +\cos (A+B-C) \) and \[ Q=\sin (A+B+C)+\s...

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Let \( P=\cos (A+B+C)+\cos (-A+B+C)+\cos (A-B+C) \)
\( +\cos (A+B-C) \) and
\[
Q=\sin (A+B+C)+\sin (-A+B+C)-\sin (A-B+C)+
\]
\( \sin (A+B-C) \) then \( \frac{P}{Q}= \)
(a) \( \cos 2 B \)
(b) \( \cot B \)
(c) 0
(d) \( \sin B \)
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