Evaluate \(16 \displaystyle \prod _{ k=1 }^{ 4 }{ \cos { { 2 }^{ k-1 } } } \) first. If one were to express the answer as \(\sin { A } \csc { B } \), evaluate \(\frac { A }{ B } \) where A and B are coprime.

NOTE: The value of \(\frac { A }{ B } \) is what you'll put in the answer box, not \(16\prod _{ k=1 }^{ 4 }{ \cos { { 2 }^{ k-1 } } } \) !

NOTE 2: Angles are measured in radians, not in degrees!!

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