Answer
$-\sqrt 3+i$, see graph.
Work Step by Step
1. Based on the given conditions, we have:
$2(cos150^\circ+i\ sin150^\circ)=2(-\frac{\sqrt 3}{2}+\frac{1}{2}i)=-\sqrt 3+i$
2. See graph.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 8 - Polar Coordinates; Vectors - Chapter Review - Review Exercises - Page 655: 16
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