Trigonometry (10th Edition)

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

Chapter 8 - Quiz (Sections 8.1-8.4) - Page 379: 5b

Answer

The equivalent trigonometric form of $1 - i\sqrt{3}$ is $2cis300^\circ$ or $2(cos300^\circ + isin300^\circ)$.

Work Step by Step

$1 - i\sqrt{3}$ is at $300^\circ$ with absolute value $\sqrt{1^2 + (-\sqrt{3}})^2 = 2$. The equivalent trigonometric form of $1 - i\sqrt{3}$ is $2cis300^\circ$ or $2(cos300^\circ + isin300^\circ)$.
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