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If 0 lt x lt 1", then " sqrt(1+x^(2))[...

If `0 lt x lt 1", then " sqrt(1+x^(2))[{x 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)`

Text Solution

Verified by Experts

The correct Answer is:
C
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  18. If cot^(-1)(sqrt(cosalpha))-tan^(-1)(sqrt(cosalpha))=x , then sinx is ...

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