Prove that `(1+tan1^(@))(1+tan44^(@))(1+tan2^(@))(1+tan43^(@))………(1+tan22^(@))(1+tan23^(@))=2^(22)`.

Explanation

To prove that

\[ (1 + \tan 1^\circ)(1 + \tan 44^\circ)(1 + \tan 2^\circ)(1 + \tan 43^\circ) \cdots (1 + \tan 22^\circ)(1 + \tan 23^\circ) = 2^{22}, \]

we can use the property of tangent that relates angles summing to \(45^\circ\).

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