If sin ^(2) x + (1)/(4) sin^(2) 3x = sin...

If `sin ^(2) x + (1)/(4) sin^(2) 3x = sin x sin^(2) 3 x ` then x =

A

` (n pi)/( 2) , n in Z`

B

` 2 n pi pm ( pi)/( 3) , n in Z`

C

` n pi , n in Z`

D

` n pi + ( - 1) ^(n) (pi)/( 6) , n in Z`

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The correct Answer is:

C, D

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