Determine all the values of in the interval which satisfy the inequality .

MATHEMATICS · Subjective · ISC · Mathematics · Sets and Functions · Sets and Functions

Problem

Determine all the values of

x

in the interval

x \in [0, 2\pi]

which satisfy the inequality

2 \cos x \le |\sqrt{1 + \sin 2x} - \sqrt{1 - \sin 2x}| \le \sqrt{2}