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: 27



Work Step by Step

By computing using the given values: $4\cdot (\cos {(\frac{7\pi}{4})}+i\cdot \sin{(\frac{7\pi}{4}))} \\=4\left(\frac{\sqrt2}{2}-i\frac{\sqrt2}{2}\right) \\=2\sqrt2-2\sqrt2i$
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