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If (sin^(-1)x)^(2)-(cos^(-1)x)^(2)=a , 0...

If `(sin^(-1)x)^(2)-(cos^(-1)x)^(2)=a` , `0 lt x lt 1`, `a ne 0`, then the value of `2x^(2)-1` is

A

`cos((2a)/(pi))`

B

`sin((4a)/(pi))`

C

`sin((2a)/(pi))`

D

`cos((4a)/(pi))`

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