Unusual Identity

Geometry Level 3

If

\[(4 {\cos}^2({9}^{\circ})-3)\times(4 {\cos}^2({27}^{\circ})-3) = \tan({x}^{\circ})\]

Where \(x^\circ \) is in between \(0^\circ\) and \(90^\circ \). Evaluate \(x^2\) (in degrees)

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