Trigonometry (10th Edition)

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: 23

Answer

$\frac{7}{6}+\frac{7}{6}i$

Work Step by Step

Adding the real parts together and the imaginary parts together, $(\frac{1}{2}+\frac{2}{3}i)+(\frac{2}{3}+\frac{1}{2}i)=(\frac{1}{2}+\frac{2}{3})+(\frac{2}{3}i+\frac{1}{2}i)=\frac{7}{6}+\frac{7}{6}i$
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