Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 8 - Section 8.2 - Trigonometric Form for Complex Numbers - 8.2 Problem Set - Page 433: 55

Answer

The equivalent trigonometric form of $-20 + 21i$ is $29cis133.60^\circ$ or $29(cos133.60^\circ + isin133.60^\circ)$.

Work Step by Step

For $-20 + 21i$, the absolute value is $\sqrt{(-20)^2 + 21^2} = 29$ and $\theta = arctan(\frac{21}{-20}) = 133.60^\circ$, since $-20 + 21i$ is in the 2nd quadrant. Therefore, the equivalent trigonometric form of $-20 + 21i$ is $29cis133.60^\circ$ or $29(cos133.60^\circ + isin133.60^\circ)$.
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.