Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 8 - Complex Numbers, Polar Equations, and Parametric Equations - Section 8.2 Trigonometric (Polar) Form of Complex Numbers - 8.2 Exercises - Page 371: 62

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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