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If f : R rarr [-1,1] and g : R rarr A ar...

If `f : R rarr [-1,1]` and g : `R rarr A` are two surjective mappings and `sin (g(x)- (pi)/(3))= (f(x))/(2) sqrt(4-f^(2)(x))`, then A =

A

`[0, (2pi)/(3)]`

B

`[-1,1]`

C

`((-pi)/(2),(pi)/(2))`

D

`(0,pi)`

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