Chapter 13.9, Problem 5CYU

To determine

To find the value of the given expression round to the nearest hundredth if necessary.

Answer to Problem 5CYU

0

Explanation of Solution

Given: $\tan \left({\cos }^{-1}1\right)$

Calculation: Let

  $\begin{array}{l}{\cos }^{-1}1=x\\ \Rightarrow 1=\cos x\\ \Rightarrow \cos x=1\\ \Rightarrow x=0^{\circ }\\ \tan \left({\cos }^{-1}1\right)\\ =\tan x\\ =\tan 0^{\circ }\\ =0\end{array}$

Thus, obtained value is equal to the given expression.