Trigonometry! #15

Geometry Level 3

If 0<A<π40<A<\frac{\pi}{4}, then

1+sin2A+1sin2A1+sin2A1sin2A=?\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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