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Which of the following pairs of function...

Which of the following pairs of function are identical?

A

`f(x) = sin(tan^(-1)x) , g (x) = x/sqrt(1+x^(2))`

B

`f(x) = sgn ( cot^(-1) x), g(x) = sec^(2) x - tan^(2) x`,where sgn x denotes signum function of x.

C

`f(x) = e ^("In" ( cos^(-1)((x^(2)-1)/(x^(2)+1)))),g(x) = cos^(-1) ((x^(2)-1)/(x^(2)+1))`

D

`f(x)= sin^(-1) ((2x)/(1+x^(2))), g(x) = 2 tan^(-1) x`

Text Solution

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The correct Answer is:
A, C
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