Nested trig

Calculus Level pending

Let \(f\left( x \right) \equiv \arcsin { (\cos { x } ) }\) where \(x\) is measured in radians and \(0<x<\pi\)

What is the value of the following expression?

\(\left| f^{ \prime }\left( \frac { 2\pi }{ 13 } \right) \right|\)

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