Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 8 - Review Exercises - Page 404: 13

Answer

$-2-2i$

Work Step by Step

Step 1: $(1-i)^{3}$ Step 2: $(1-i)(1-i)(1-i)$ Step 3: $(1-i)(1(1-i)-i(1-i))$ Step 4: $(1-i)(1-i-i+i^{2})$ Step 5: $(1-i)(1-2i+i^{2})$ Step 6: $(1-i)(1-2i-1)$ Step 7: $(1-i)(-2i)$ Step 8: $2i^{2}-2i$ Step 9: $-2-2i$
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