Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

APPENDIX H - Complex Numbers - H Exercises: 41

Answer

$i$

Work Step by Step

To write the number as $a+bi$, we apply Euler's formula, $e^{iy}=\cos{y}+i\sin{y}$ $e^{i\pi/2}=\displaystyle \cos\frac{\pi}{2}+i\sin\frac{\pi}{2}=0+i*1=i$
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