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Let f(x)=x^(2) and g(x)= sin x for all x...

Let `f(x)=x^(2)` and `g(x)= sin x` for all `x in R`. Then the set of all x satisfying `(fogogof)(x)=(gogof)(x)`, where `(fog)(x)=f(g(x))`, is

A

`pm sqrt(n pi), n in {0,1,2..........}`

B

`pm sqrt(n pi), n in {1,2,..}`

C

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

D

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

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The correct Answer is:
A
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