Tangents Of Angle Progression

Geometry Level 3

tan⁡21∘+tan⁡23∘+tan⁡25∘+⋯+tan⁡287∘+tan⁡289∘= ?\large \tan^2 1^\circ + \tan^2 3^\circ + \tan^2 5^\circ + \cdots+ \tan^2 87^\circ + \tan^2 89^\circ = \ ?

Thiago Bersch by Thiago Bersch
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