Trigonometry (11th Edition) Clone

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

Chapter 8 - Test - Page 412: 3b



Work Step by Step

Step 1: $(1+i)^{2}$ Step 2: $(1+i)(1+i)$ Step 3: $1(1+i)+i(1+i)$ Step 4: $1+i+i+i^{2}$ Step 5: As $i^{2}=-1$, the expression becomes $1+2i-1$ Step 6: $1+2i-1=2i$ Step 7: Therefore, the rectangular form of the expression is $2i$.
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