Find all x for which, for all n, n∑k=1sinkx≤√32.
Problem
Source: IMO LongList 1967, Soviet Union 3
Tags: trigonometry, Trigonometric inequality, Inequality, algebra, IMO Shortlist, IMO Longlist
Source: IMO LongList 1967, Soviet Union 3
Tags: trigonometry, Trigonometric inequality, Inequality, algebra, IMO Shortlist, IMO Longlist
Find all x for which, for all n, n∑k=1sinkx≤√32.