Answer
$1 - i$
Work Step by Step
$\sqrt{2}$ $cis\frac{7\pi}{4}$
= $\sqrt{2}(cos\frac{7\pi}{4} + isin\frac{7\pi}{4})$
= $\sqrt{2}$ ($\frac{\sqrt{2}}{2} - \frac{\sqrt{2}}{2}i$)
= $1 - i$
Trigonometry 7th Edition
by McKeague, Charles P.; Turner, Mark D.
Published by
Cengage Learning
ISBN 10:
1111826854
ISBN 13:
978-1-11182-685-7
Chapter 8 - Section 8.2 - Trigonometric Form for Complex Numbers - 8.2 Problem Set - Page 432: 32
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