Answer
$2.853+0.927i$
Work Step by Step
Evaluate the trigonometric expressions by using a calculator then simplify to obtain:
$3 [\cos(\frac{\pi}{10})+i⋅\sin (\frac{\pi}{10})] \\ = 3 [0.9510565163+0.3090169944 \ i]\\ \approx 2.853+0.927i$
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: 32
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