Answer
$−0.376−0.137i$
Work Step by Step
Evaluate the trigonometric expressions by using calculator then simplify to obtain:
$0.2 [\cos(200^{\circ})+i⋅\sin(200^{\circ})] \\ =0.4 [−0.9396926208+(−0.3420201433) \ i]\\ \approx −0.376−0.137i$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 8 - Polar Coordinates; Vectors - Section 8.3 The Complex Plane; De Moivre's Theorem - 8.3 Assess Your Understanding - Page 615: 30
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