SMO 2008 Problem 4

let $0<a,b<\pi/2$ . Show that $\frac{5}{cos^2(a)}+\frac{5}{sin^2(a)sin^2(b)cos^2(b)} \geq 27cos(a)+36sin(a)$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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