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: 60



Work Step by Step

$3$ cis $180^{\circ}$=$3(\cos180^{\circ}+i\sin180^{\circ})$ It is known that $\cos180^{\circ}=-1$ and $\sin180^{\circ}=0$ Substituting these values in the expression and solving: $3(\cos180^{\circ}+i\sin180^{\circ})=3(-1+i(0))=3(-1)=-3$
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