Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 8 - Application of Trigonometry - 8.5 Trigonometric (Polar) Form of Complex Numbers: Products and Quotients - 8.5 Exercises - Page 801: 66

Answer

$$ - 0.3502 + i0.9367$$

Work Step by Step

$$\eqalign{ & \operatorname{cis} {110.5^ \circ } \cr & = \left( {\cos {{110.5}^ \circ } + i\sin {{110.5}^ \circ }} \right) \cr & {\text{Calculate }}\cos {110.5^ \circ }{\text{ and }}\sin {110.5^ \circ } \cr & \cos {110.5^ \circ } \approx - 0.3420 \cr & \sin {110.5^ \circ } \approx - 0.9397 \cr & {\text{,then}} \cr & \approx - 0.3502 + i0.9367 \cr} $$
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