Trigonometry! #29

Geometry Level 3

The equation 2cos2(12x)sin2x=x2+x2 2\cos^{2}\left(\frac {1}{2} x \right)\sin^{2} x = x^2 + x^{-2} such that 0<xπ20<x≤\frac {\pi}{2} has how many real solutions?

This problem is part of the set Trigonometry.

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