If sin^(4)(x//3)+cos^(4)(x//3)gt1//2 the...

If `sin^(4)(x//3)+cos^(4)(x//3)gt1//2` then `x in `________

A

`R - { x // x = ( 3 n pi)/( 2) pm (pi)/( 4), n in Z}`

B

`R - { x // x = ( 3 n pi)/( 2) pm (pi)/( 2), n in Z}`

C

`R - { x // x = ( 3 n pi)/( 2) pm (3pi)/( 4), n in Z}`

D

`R - { x // x = ( 3 n pi)/( 2) pm (3pi)/( 2), n in Z}`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

3 sin^(2) x -4 cos^(2) x in

If cos^(-1)(3/5)-sin^(-1)(4/5)=cos^(-1)x then x=

If (sin^(3)"" (x)/(2)-cos^(3)""(x)/(2))/(2 + sin x) = (cos x)/( 3) then x =

If sin^(3) x cos 3x + cos^(3) x sin 3x = 3//8 , then the value of 8 sin 4x is ____________.

Solution of 7 sin ^(2)x+3 cos^(2)x=4 is

If "Cos"^(-1)3/5-"Sin"^(-1)4/5=Cos^(-1)x then x =

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

int (sin 2 xdx)/(sin^(4) x+ cos^(4) x)=tan^(-1) (f(x))+c," then "f((pi)/(3))=

If y= ( sin^(4) x - cos^(4) x + sin^(2) x cos^(2) x )/( sin^(4) x + cos^(4) x + sin^(2) x cos^(2) x) , x in ( 0, (pi)/(2) ) , then