# Trigonometry is Back!

Geometry Level 3

If $$\cot^{-1} \left(\dfrac{\sqrt{1+ \sin x} + \sqrt{1- \sin x}}{\sqrt{1 + \sin x} - \sqrt{1 - \sin x}} \right) = Ax$$, where $$0 < x < \dfrac{\pi}{2}$$, find the value of $$A$$.

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