Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 8 - Review Exercises - Page 618: 120

Answer

$\frac{1}{2}(cos~100°+i~sin~100°)$

Work Step by Step

$\frac{cos~150°+i~sin~150°}{2(cos~50°+i~sin~50°))}=\frac{e^{i150°}}{2e^{i50°}}=\frac{1}{2}e^{i(150°-50°)}=\frac{1}{2}e^{i100°}=\frac{1}{2}(cos~100°+i~sin~100°)$
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