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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

`(npi)/2, n in Z`

B

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

C

`n pi , n in Z`

D

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

Text Solution

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The correct Answer is:
C, D
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  • If sin h x = (3)/(4) then sin h(2x) =

    A
    `(5)/(8)`
    B
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  • If 4 (sin 2x sin 4 x + sin^(2) x) = 3 , then x =

    A
    `(2npi)/(3) pm (pi)/(9), nin Z`
    B
    `(npi)/(3) pm (pi)/(9) , n in Z`
    C
    `(n pi)/(3) +(-1)^(n)(pi)/(9), n in Z`
    D
    `(n pi)/(3) +(-1)^(n) (2pi)/(9), n in Z`

  • If 4cos^(2)x sin x - 2 sin^(2)x=3sinx , then x =

    A
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    B
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    C
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