Let's salute cos 1

Geometry Level 3

1A=cosπ11cos2π11cos3π11cos4π11cos5π11 \dfrac1A = \cos \dfrac{\pi}{11} \cos \dfrac{2\pi}{11} \cos \dfrac{3\pi}{11} \cos \dfrac{4\pi}{11} \cos \dfrac{5\pi}{11}

Find the value of the positive integer AA.

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