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: 34

Answer

$\approx 2.853+0.927i$

Work Step by Step

Evaluate the trigonometric expressions using a calculator, then simplify to obtain: $3\cdot (\cos (\frac{\pi}{10})+i\cdot \sin(\frac{\pi}{10})) \\=3(0.9510565163+i\cdot0.3090169944) \\\approx2.853+0.927i$
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