Answer
$\sqrt 3-i$
Work Step by Step
$\cos 330^{\circ}=\frac{\sqrt 3}{2}$ and $\sin 330^{\circ}=-0.5$
Substituting these values in the question,
$2(\cos 330^{\circ}+i\sin 330^{\circ})=2(\frac{\sqrt 3}{2}+i(-0.5))=\sqrt 3-i$
Trigonometry (10th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671775
ISBN 13:
978-0-32167-177-6
Chapter 8 - Complex Numbers, Polar Equations, and Parametric Equations - Section 8.2 Trigonometric (Polar) Form of Complex Numbers - 8.2 Exercises - Page 364: 30
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