MathDB

3

Part of 1967 IMO Shortlist

Problems(11)

IMO LongList 1967, Soviet Union 3

Source: IMO LongList 1967, Soviet Union 3

12/16/2004
Find all xx for which, for all n,n, ∑k=1nsin⁡kx≤32.\sum^n_{k=1} \sin {k x} \leq \frac{\sqrt{3}}{2}.
trigonometryTrigonometric inequalityInequalityalgebraIMO ShortlistIMO Longlist