MathDB
tan A+ tan B + tan C= tan A tan B tan C

Source: Polish MO Finals 1953 p6

August 29, 2024
trigonometry

Problem Statement

What algebraic relationship holds between α \alpha , β \beta and γ \gamma when the equality is satisfied tan⁡α+tan⁡β+tan⁡γ=tan⁡αtan⁡βtan⁡γ? \tan \alpha + \tan \beta + \tan \gamma = \tan \alpha \tan \beta \tan \gamma?
Back to ProblemsView on AoPS