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(1+tan1∘)(1+tan2∘)(1+tan3∘)⋯(1+tan45∘)=2n(1+\tan 1^\circ)(1+\tan 2^\circ)(1+\tan 3^\circ) \cdots (1+\tan 45^\circ) = 2^n(1+tan1∘)(1+tan2∘)(1+tan3∘)⋯(1+tan45∘)=2n
The above equation holds true for some positive integer nnn. Find nnn.
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