Trigonometry (11th Edition) Clone

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

Chapter 8 - Review Exercises - Page 409: 20

Answer

$\frac{1}{i}=i^{-1}$

Work Step by Step

Since $i^{4}=1$, we write the given power as a product involving $i^{4}$: $i^{-41}=\frac{1}{i^{41}}=\frac{1}{i^{40}\times i}=\frac{1}{(i^{4})^{10}\times i}=\frac{1}{(1)^{10}\times i}=\frac{1}{i}=i^{-1}$
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.