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If 0lt xlt1 , then sqrt(1+x^2)[{cos (cot...

If `0lt xlt1` , then `sqrt(1+x^2)[{cos (cot^(-1)x)+sin(cot^(-1)x)}^(2)-1]^(1//2)` is equal to a)`x/sqrt(1+x^2)` b)x c)`xsqrt(1+x^2)`d)`sqrt(1+x^2)`

A

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

B

x

C

`xsqrt(1+x^2)`

D

`sqrt(1+x^2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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