# Trigonometric Algebra

Geometry Level 4

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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