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IMO LongList 1967, Soviet Union 3

Source: IMO LongList 1967, Soviet Union 3

December 16, 2004
trigonometryTrigonometric inequalityInequalityalgebraIMO ShortlistIMO Longlist

Problem Statement

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}.
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