MathDB
csc^2\frac{\alpha}{2}+csc^2\frac{\beta}{2}+csc^2\frac{\gamma}{2} \ge 12

Source: Korean Mathematical Olympiad 1994, Final Round P2 FKMO

July 21, 2018
Trigonometric inequalitytrigonometryInequalitygeometryalgebrainequalities

Problem Statement

Let α,β,γ \alpha,\beta,\gamma be the angles of a triangle. Prove that csc2α2+csc2β2+csc2γ2≥12csc^2\frac{\alpha}{2}+csc^2\frac{\beta}{2}+csc^2\frac{\gamma}{2} \ge 12 and find the conditions for equality.
Back to ProblemsView on AoPS