2021-23 A regular polygon inscribed in a regular polygon.

Let \(n, m\) be positive integers where \(m\) divides \(n\). When there exists a regular \(n\)-gon with area 1, what is the area of the largest regular \(m\)-gon inscribed in the \(n\)-gon in terms of \(n\) and \(m\)?

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