# Trigonometry! #15

Geometry Level 3

If $$0<A<\frac{\pi}{4}$$, then

$\large \frac {\sqrt{1+\sin 2A}+\sqrt{1-\sin 2A}}{\sqrt{1+\sin2A}-\sqrt{1-\sin 2A}}=?$

This problem is part of the set Trigonometry.

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