Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 6 - 6.6 - Inverse Trigonometric Functions - 6.6 Exercises - Page 487: 130b


The identity is verified. $arctan(-x)=-arctan~x$

Work Step by Step

Let $x=tan~y$, then $y=arctan~x$. We know that $tan(-y)=-tan~y$ because $tan~y$ is odd. So, $-x=tan(-y)$. Then: $arctan(-x)=-y=-arctan~x$
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.