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: 53

Answer

$-1.0261-2.8191i$

Work Step by Step

$\cos250^{\circ}=-0.34202$ and $\sin250^{\circ}=-0.93969$ Substituting these values in the question, $3(\cos250^{\circ}+i\sin250^{\circ})=3(-0.34202+i(-0.93969))=3(-0.34202-0.93969i)=-1.0261-2.8191i$
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