Answer
$\frac{3}{2}(cos~45°+isin~45°)$
Work Step by Step
$\frac{2(cos~60°+isin~60°)}{3(cos~15°+isin~15°)}=\frac{2e^{i60°}}{3e^{i15°}}=\frac{3}{2}e^{i(60°-15°)}=\frac{3}{2}e^{i45°}=\frac{3}{2}(cos~45°+isin~45°)$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 8 - Review Exercises - Page 618: 119
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