Write the following functions in the simplest form : $$(i) tan^{-1} \bigg( \frac{\sqrt{1+x^2} - 1}{x} \bigg), x \neq 0$$ $$(ii) tan^{-1} \frac{1}{\sqrt{x^2-1}} ,| x | > 1$$

Question

Q: (i) is Q.No. 5 of sec.2 in chapter 2 Q.(ii) is Q.No. 6 of sec 2 in chapter 2