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: 24

Answer

$(\frac{8}{35}-\frac{13}{28}i)$

Work Step by Step

Adding the real parts together and the imaginary parts together, Step 1: $(-\frac{1}{5}+\frac{2}{7}i)+(\frac{3}{7}-\frac{3}{4}i)$ Step 2: $(-\frac{1}{5}+\frac{3}{7})+(\frac{2}{7}i-\frac{3}{4}i)$ Step 3: $(\frac{-7+15}{35})+(\frac{8i-21i}{28})$ Step 4: $(\frac{8}{35}-\frac{13}{28}i)$
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