Answer
$-\frac{3\sqrt3}{2}-\frac{3}{2}i.$
Work Step by Step
By computing using the known values: $3\cdot (\cos {(210^\circ)}+i\cdot \sin{(210^\circ))}=3(-\frac{\sqrt3}{2}-i\frac{1}{2})=-\frac{3\sqrt3}{2}-\frac{3}{2}i.$
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: 26
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