# A geometry problem by Atul Kumar Ashish

**Geometry**Level 3

\[(1+\tan 1^\circ)(1+\tan 2^\circ)(1+\tan 3^\circ) \cdots (1+\tan 45^\circ) = 2^n\]

The above equation holds true for some positive integer \(n\). Find \(n\).

\[(1+\tan 1^\circ)(1+\tan 2^\circ)(1+\tan 3^\circ) \cdots (1+\tan 45^\circ) = 2^n\]

The above equation holds true for some positive integer \(n\). Find \(n\).

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