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sin(tan^(-1)x),|x| le 1 is equal to :...

`sin(tan^(-1)x),|x| le 1` is equal to :

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
`sin(tan^(-1)x)=sintheta " "` Let `tan^(-1)x=theta`
`=(x)/(sqrt(1+x^(2)))" "impliesx tantheta`
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