Answer
$1.970+0.347i$
Work Step by Step
Evaluate the trigonometric expressions by using a calculator then simplify to obtain:
$2 [\cos(\dfrac{\pi}{18})+i⋅\sin (\dfrac{\pi}{18})] \\ =2 [0.984807753+0.1736481777 \ i]\\ \approx 1.970+0.347i$
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: 31
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