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If cot(cos^(-1)x)=sec{tan^(-1)(a)/sqrt(b...

If `cot(cos^(-1)x)=sec{tan^(-1)(a)/sqrt(b^(2)-a^(-2))}` then x equals

A

`(b)/(sqrt(2b^(2)-a^(2)))`

B

`(a)/(sqrt(2b^(2)-a^(2)))`

C

`(sqrt(b^(2)-a^(2)))/(a)`

D

`sqrt(b^(2)-a^(2))/(ab)`

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The correct Answer is:
A
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