IMC 2006 · Problem 3

Day 220 points13th IMC · Odessa, Ukraine

Statement

Compare tan⁡(sin⁡x)\tan(\sin x) and sin⁡(tan⁡x)\sin(\tan x) for all x∈(0,π2)x \in \left(0, \dfrac{\pi}{2}\right).

Official solution

Hidden so you can work on the problem first.