Answer
$ \sqrt 2(cos225^\circ+i\ sin225^\circ)$
Work Step by Step
Use the given conditions, we have:
$-1-i=\sqrt 2(-\frac{\sqrt 2}{2}-\frac{\sqrt 2}{2}i) =\sqrt 2(cos225^\circ+i\ sin225^\circ)$
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 - Chapter Review - Review Exercises - Page 655: 14
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