Answer
$1$
Work Step by Step
To write the number as $a+bi$, we apply Euler's formula, $e^{iy}=\cos{y}+i\sin{y}$
$e^{2\pi i}=\cos 2\pi+i\sin 2\pi=1+i*0=1$
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
APPENDIX H - Complex Numbers - H Exercises - Page A 64: 42
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