MathDB

24

Part of 1985 IMO Longlists

Problems(1)

Inequality with sine

Source:

9/13/2010
Let d≥1d \geq 1 be an integer that is not the square of an integer. Prove that for every integer n≥1,n \geq 1, (nd+1)⋅∣sin⁡(nπd)∣≥1(n \sqrt d +1) \cdot | \sin(n \pi \sqrt d )| \geq 1
inequalitiestrigonometryinequalities unsolvedalgebra