Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 4 - Review Exercises - Page 646: 96


The exact value of the provided expression is ${{\tan }^{-1}}1=\frac{\pi }{4}$.

Work Step by Step

Let us assume, $\theta ={{\tan }^{-1}}1$. Then, $\tan \theta =1$ For the tan function, the interval for the angle is $\left( \frac{-\pi }{2},\frac{\pi }{2} \right)$. Therefore, the only angle that satisfies $\tan \theta =1$ is $\frac{\pi }{4}$. Thus, $\theta =\frac{\pi }{4}$ and the exact value of the given expression is: ${{\tan }^{-1}}1=\frac{\pi }{4}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.