Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 8 - Review Exercises - Page 404: 40

Answer

$4.4995-5.3623i$

Work Step by Step

$7$ cis $310^{\circ}=7(\cos 310^{\circ}+i\sin 310^{\circ})$ Using a calculator, we find that $\cos310^{\circ}=0.64279$ and $\sin310^{\circ}=-0.76604$ Substituting these values in the expression and solving: $7(\cos310^{\circ}+i\sin310^{\circ})=7(0.64279-0.76604i)=4.4995-5.3623i$
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