Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 8 - Review Exercises - Page 409: 18

Answer

$2-3i$

Work Step by Step

Step 1: We will multiply both the numerator and the denominator by the complex conjugate of the denominator. Also, the conjugate of $i$ is $-i$. Step 2: $\frac{3+2i}{i}\times\frac{-i}{-i}=\frac{-i(3+2i)}{-i^{2}}=\frac{-3i-2i^{2}}{-(-1)}=\frac{-3i-2(-1)}{1}=2-3i$
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