Trig'o minimized

Geometry Level 3

\[\large f(x) = \sin^{-1}\left(1+\tan^{-1}\left(1 - \cos^{-1}\left(\dfrac{x}{\pi}\right)\right)\right)\]

Find the value of \(x\) for which \(f(x)\) is minimum. Give your answer to 4 decimal places.

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