The complete set of values of ` x, x in (-(pi)/(2), pi)` satisfying the inequality `cos 2x gt |sin x| ` is :

Options

A. ` (- (pi)/(6), (pi)/(6))`
B. `(-(pi)/(2), (pi)/(6)) cup ((pi)/(6), (5 pi)/(6)) `
C. `(-(pi)/(2), -(pi)/(6)) cup ((5 pi)/(6), pi ) `
D. `(-(pi)/(3),(pi)/(3)) cup ((5 pi)/(6), pi ) `

Answer

D