# A geometry problem by Mateus Gomes

Geometry Level 3

$\tan(y^\circ) = (4\cos^2 9^\circ - 3)(4\cos^2 27^\circ - 3)$

If $$y$$ satisfy the equation above, find $$y$$ where $$0 < y < 90$$.

Clarification: Angles are measured in degrees.

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