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 365: 58

Answer

$(-0.35021+0.93667i)$

Work Step by Step

cis $110.5^{\circ}=(\cos 110.5^{\circ}+i\sin 110.5^{\circ})$ Using a calculator, we find that $\cos110.5^{\circ}=-0.35021$ and $\sin110.5^{\circ}=0.93667$ Substituting these values in the expression and solving: $(\cos110.5^{\circ}+i\sin110.5^{\circ})=(-0.35021+0.93667i)$
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