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



Work Step by Step

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