Answer
See graph, $4\sqrt 2(cos315^\circ+i\ sin315^\circ)$
Work Step by Step
1. See graph for $z=4-4i$
2. $z=4-4i=4\sqrt 2(\frac{\sqrt 2}{2}-\frac{\sqrt 2}{2}i)=4\sqrt 2(cos315^\circ+i\ sin315^\circ)$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 8 - Polar Coordinates; Vectors - Section 8.3 The Complex Plane; De Moivre's Theorem - 8.3 Assess Your Understanding - Page 614: 17
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