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 364: 28

Answer

$-8i$

Work Step by Step

$\cos 270^{\circ}=0$ and $\sin 270^{\circ}=-1$ Substituting these values in the question, $8(\cos 270^{\circ}+i\sin 270^{\circ})=8(0+i(-1))=8(-i)=-8i$
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