question_answer

The values of x between 0 and \[2\pi \] which satisfy the equation \[\sin x\sqrt{8{{\cos }^{2}}x}=1\] are in AP with common difference ________.

A)  \[\frac{\pi }{8}\]                                   

B)  \[\frac{\pi }{4}\]

C)  \[\frac{\pi }{2}\]                                   

D)  \[\frac{3\pi }{8}\]

E)  None of these