Angles In a Pentagon

Geometry Level 3

sec(π10)sec(3π10)sec(7π10)sec(9π10)=  ?\large \sec \left ( \dfrac {\pi}{10} \right ) \sec \left ( \dfrac {3\pi}{10} \right ) \sec \left ( \dfrac {7\pi}{10} \right ) \sec \left ( \dfrac {9\pi}{10} \right ) = \; ?

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