Answer
$-\frac{1}{2}+\frac{\sqrt 3}{2}i$
Work Step by Step
$(\frac{1}{2}+\frac{\sqrt 3}{2}i)^2=(\frac{1}{2})^2+2(\frac{1}{2})(\frac{\sqrt 3}{2}i)+(\frac{\sqrt 3}{2}i)^2=\frac{1}{4}+\frac{\sqrt 3}{2}i-\frac{3}{4}=-\frac{1}{2}+\frac{\sqrt 3}{2}i$
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
Appendix A - Review - A.11 Complex Numbers - A.11 Assess Your Understanding - Page A94: 29
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