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.


This question was taken from IME (Instituto Militar de Engenharia - Brazil).
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