Trigonometry (10th Edition)

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

Chapter 8 - Complex Numbers, Polar Equations, and Parametric Equations - Section 8.3 The Product and Quotient Theorems - 8.3 Exercises - Page 370: 20

Answer

$\frac{2i}{-1 - i\sqrt{3}}$ = $\frac{-\sqrt{3}}{2} - \frac{i}{2}$

Work Step by Step

$\frac{2i}{-1 - i\sqrt{3}}$ = $\frac{2cis90^\circ}{2cis240^\circ}$ = $cis(90-240)^\circ$ = $cis(-150)^\circ$ = $\frac{-\sqrt{3}}{2} - \frac{i}{2}$
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