Answer
$i$
Work Step by Step
To write the number as $a+bi$, we apply Euler's formula, $e^{iy}=\cos{y}+i\sin{y}$
$e^{i\pi/2}=\displaystyle \cos\frac{\pi}{2}+i\sin\frac{\pi}{2}=0+i*1=i$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Appendix G - Complex Numbers - G Exercises - Page A56: 41
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