Game of trigs

Geometry Level 3

\[ P = \cos \dfrac{\pi}{20}\cos \dfrac{3\pi}{20}\cos \dfrac{7\pi}{20}\cos \dfrac{9\pi}{20} , \qquad Q = \cos\dfrac{\pi}{11} \cos\dfrac{2\pi}{11} \cos\dfrac{4\pi}{11} \cos\dfrac{8\pi}{11} \cos\dfrac{16\pi}{11} \]

Find \(\dfrac PQ \).

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