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: 30

Answer

$4i$

Work Step by Step

Evaluate and simplify to obtain: $4\cdot (\cos (\frac{\pi}{2})+i\cdot \sin(\frac{\pi}{2})) \\=4(0+i\cdot 1) \\=4(0+i) \\=4(i) \\=4i$
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