Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 8 - Quiz (Sections 8.1-8.4) - Page 385: 5c

Answer

The equivalent trigonometric form of $-3 - i$ is $\sqrt{10}cis198.435^\circ$ or $\sqrt{10}(cos198.435^\circ + isin198.435^\circ)$.

Work Step by Step

$-3 - i$ is at $arctan(\frac{-1}{-3})+180^\circ = 198.435^\circ$ with absolute value $\sqrt{(-3)^2 + (-1)^2} = \sqrt{10}$. The equivalent trigonometric form of $-3 - i$ is $\sqrt{10}cis198.435^\circ$ or $\sqrt{10}(cos198.435^\circ + isin198.435^\circ)$.
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.