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1965 IMO Problems/Problem 1

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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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Category: Problems with no solution

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