# Difference between revisions of "1965 IMO Problems/Problem 1"

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Determine all values <math>x</math> in the interval <math>0\leq x\leq 2\pi </math> which satisfy the inequality | Determine all values <math>x</math> in the interval <math>0\leq x\leq 2\pi </math> which satisfy the inequality | ||

<cmath>2\cos x \leq \left| \sqrt{1+\sin 2x} - \sqrt{1-\sin 2x } \right| \leq \sqrt{2}.</cmath> | <cmath>2\cos x \leq \left| \sqrt{1+\sin 2x} - \sqrt{1-\sin 2x } \right| \leq \sqrt{2}.</cmath> | ||

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== Solution == | == Solution == | ||

{{solution}} | {{solution}} |

## Revision as of 11:42, 16 July 2009

## Problem

Determine all values in the interval which satisfy the inequality

## Solution

*This problem needs a solution. If you have a solution for it, please help us out by adding it.*