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1965 IMO Problems/Problem 1

Revision as of 11:42, 16 July 2009 by Xpmath (talk | contribs)

Problem

Determine all values $x$ in the interval $0\leq x\leq 2\pi$ which satisfy the inequality \[2\cos x \leq \left| \sqrt{1+\sin 2x} - \sqrt{1-\sin 2x } \right| \leq \sqrt{2}.\]

Solution

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