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: 32

Answer

$\approx -0.376-0.137i$

Work Step by Step

Evaluate the trigonometric expressions using a calculator, then simplify to obtain: $0.4\cdot (\cos (200^\circ)+i\cdot \sin(200^\circ)) \\=0.4(-0.9396926208+i\cdot (-0.3420201433)) \\\approx-0.376-0.137i$
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