MathDB
IMO LongList 1967, Bulgaria 3

Source: IMO LongList 1967, Bulgaria 3

November 14, 2004
trigonometrycalculusTaylor seriesInequalityTrigonometric inequalityIMO ShortlistIMO Longlist

Problem Statement

Prove the trigonometric inequality cos⁡x<1−x22+x416,\cos x < 1 - \frac{x^2}{2} + \frac{x^4}{16}, when x∈(0,π2).x \in \left(0, \frac{\pi}{2} \right).
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