Algebra and Trigonometry 10th Edition

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

Chapter 8 - Review Exercises - Page 618: 121



Work Step by Step

DeMoivre's Theorem: If $z=r(cos~θ+i~sin~θ)$, then $z^n=r^n(cos~nθ+i~sin~nθ)$ $z=5(cos~\frac{\pi}{12}+i~sin~\frac{\pi}{12})$ $z^4=5^4[cos~(4\frac{\pi}{12})+i~sin~(4\frac{\pi}{12})]$ $z^4=625(cos~\frac{\pi}{3}+i~sin~\frac{\pi}{3})$
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