Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 8 - Polar Coordinates; Vectors - Chapter Test - Page 656: 11

Answer

$\frac{3}{2}(cos297^\circ+i\ sin297^\circ)$

Work Step by Step

Use the given complex numbers, we have $\frac{w}{z}=\frac{3}{2}(cos(22^\circ-85^\circ)+i\ sin(22^\circ-85^\circ))=\frac{3}{2}(cos(-63^\circ)+i\ sin(-63^\circ))=\frac{3}{2}(cos(360-63)^\circ+i\ sin(360-63^\circ)=\frac{3}{2}(cos297^\circ+i\ sin297^\circ)$
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