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 - Page A 64: 9

Answer

$\frac{1}{2}$-$\frac{i}{2}$

Work Step by Step

Multply by the conjugate: $\frac{1}{1+i}$ $\frac{1-i}{1-i}$ $\frac{1-i}{1-(i^{2})}$ = $\frac{1-i}{2}$ $\frac{1}{2}$-$\frac{i}{2}$
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