Answer
$i$
Work Step by Step
Given: $e^{i\pi/2}$
To write the number as $a+bi$, we apply Euler's formula, $e^{iy}=\cos{y}+i\sin{y}$
$e^{i\pi/2}=\displaystyle \cos\frac{\pi}{2}+i\sin\frac{\pi}{2}$
$=0+i\times 1$
$=i$
Multivariable Calculus, 7th Edition
by Stewart, James
Published by
Brooks Cole
ISBN 10:
0-53849-787-4
ISBN 13:
978-0-53849-787-9
Appendix G - Exercises - Page A12: 41
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