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Simplify sin(cot^(-1)(cos(tan^(-1)x))),0...

Simplify `sin(cot^(-1)(cos(tan^(-1)x))),0 ltxlt1`.

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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