Answer
$-3i$
Work Step by Step
By computing using the given values:
$3\cdot (\cos {(\frac{3\pi}{2})}+i\cdot \sin{(\frac{3\pi}{2}))}
\\=3(0-i)
\\=0-3i
\\=-3i$
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: 29
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