Trigonometry (2)

Geometry Level 4

\[\large S_n= \cos^2 \dfrac{π}{n} + \cos^2 \dfrac{2π}{n} + \cos^2 \dfrac{3π}{n} + \cdots + \cos^2 \dfrac{(n-1)π}{n}\]

For integer \(n\geq 2\), simplify \(S_n\) to an algebraic function of \(n\).

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