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Challenge · Challenge problem

What is the value of (1+tan⁡1∘)(1+tan⁡2∘)(1+tan⁡3∘)⋯(1+tan⁡44∘)(1 + \tan 1^\circ)(1 + \tan 2^\circ)(1 + \tan 3^\circ)\cdots(1 + \tan 44^\circ)?

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