Can We Cut Off The Tangents?

Geometry Level 3

tan ⁡ 1 2 ∘ , tan ⁡ 12 3 ∘ , tan ⁡ 123 4 ∘ , tan ⁡ 1234 5 ∘ \large \tan12^\circ, \quad \tan123^\circ, \quad \tan1234^\circ, \quad \tan12345^\circ

Which of the numbers above is equal to − 3 − 2 -\sqrt3 - 2 ?

tan ⁡ 1234 5 ∘ \tan12345^\circ tan ⁡ 12 3 ∘ \tan123^\circ tan ⁡ 123 4 ∘ \tan1234^\circ tan ⁡ 1 2 ∘ \tan12^\circ

Chung Kevin by Chung Kevin , 45, Australia

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