If x gt 0, then the value of sin[cot^(-1...

If `x gt 0`, then the value of `sin[cot^(-1)cos(tan^(-1)x)]` is equal to -

A

(a) `sqrt((1+x^2)/(2+x^2))`

B

(b) `sqrt((2+x^2)/(1+x^2))`

C

(c) `sqrt((x^2-1)/(x^2-2))`

D

(d) `sqrt((x^2-2)/(x^2-1))`

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The correct Answer is:

A

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