Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 9 - Polar Coordinates; Vectors - 9.3 The Complex Plane; De Moivre's Theorem - 9.3 Assess Your Understanding - Page 594: 8


$z^n=r^n[\cos{(n\theta)}+i\cdot \sin{(n\theta)}]$.

Work Step by Step

$z^n=r^n[\cos{(n\theta)}+i\cdot \sin{(n\theta)}]$. Because the radiuses must be multiplied and the angles must be added.
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