Answer
$-\sqrt3+i$
Work Step by Step
$2\cdot \left(\cos (\frac{5\pi}{6})+i\cdot \sin(\frac{5\pi}{6})\right)
\\=2\left(\frac{-\sqrt3}{2}+i\left(\frac{1}{2}\right)\right)
\\=-\sqrt3+i$
Precalculus (10th Edition)
by Sullivan, Michael
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: 28
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