Chapter 13, Problem 60SGR

To determine

To find: Evaluate each inverse trigonometric function.

Answer to Problem 60SGR

  $\mathrm{Arctan}\left(0\right)=0$ or $0^0$

Explanation of Solution

Given information:

  $\mathrm{Arctan}\left(0\right)$

Given

  $\mathrm{Arctan}\left(0\right)$

  $\begin{array}{l}\Rightarrow \mathrm{Arctan}\left(0\right)={\tan }^{-1}\left(0\right)\\ \Rightarrow \mathrm{Arctan}\left(0\right)={\tan }^{-1}\left(\tan \left(0\right)\right)\end{array}$

Cancelling tan and tan inverse

We get

  $\Rightarrow \mathrm{Arctan}\left(0\right)=0$

Therefore,

  $\mathrm{Arctan}\left(0\right)=0$ or $0^0$