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Question

Question: \[{\tan h}^{- 1}x =\]...

tanh1x={\tan h}^{- 1}x =

A

12log(x+1x1)\frac{1}{2}\log\left( \frac{x + 1}{x - 1} \right)

B

12log(x1x+1)\frac{1}{2}\log\left( \frac{x - 1}{x + 1} \right)

C

12log(1x1+x)\frac{1}{2}\log\left( \frac{1 - x}{1 + x} \right)

D

12log(1+x1x)\frac{1}{2}\log\left( \frac{1 + x}{1 - x} \right)

Answer

12log(1+x1x)\frac{1}{2}\log\left( \frac{1 + x}{1 - x} \right)

Explanation

Solution

It is obvious.