MathDB

2

Part of 2018 Flanders Math Olympiad

Problems(1)

sin ( cos a) < cos( sin a) for acute a

Source: Flanders Math Olympiad 2018 p2

12/24/2022
Prove that for every acute angle α\alpha, sin⁡(cos⁡α)<cos⁡(sin⁡α)\sin (\cos \alpha) < \cos(\sin \alpha).
trigonometryinequalitiesalgebra