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Challenge · Challenge problem

What is the value of (1+tan⁡5∘)(1+tan⁡6∘)(1+tan⁡7∘)⋯(1+tan⁡40∘)(1 + \tan 5^\circ)(1 + \tan 6^\circ)(1 + \tan 7^\circ)\cdots(1 + \tan 40^\circ)?

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