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: 31

Answer

$\approx -0.035+0.197i$

Work Step by Step

Evaluate the trigonometric expressions then simplify to obtain: $0.2\cdot (\cos (100^\circ)+i\cdot \sin(100^\circ)) \\=0.2(-0.1736481777+0.984807753i) \\\approx-0.035+0.197i.$
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