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Let`f(x)=x^2` and `g(x)=sinx` for all `xIR` then the set of all `x` satisfying `(f o g o g o f ), (x)=(g o g o f) , (x)` , where `(f o g ) , (x)=f(g(x))`, is

A

`+-sqrtnpi,n in {0,1,2,...}`

B

`+-sqrtnpi,n in {1,2,...}`

C

`pi/2+2npi,n in{...,-2,-1,0,1,2,...}`

D

`2npi,n in{...,-2,-1,0,1,2,...}`

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The correct Answer is:
A
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