Answer
$\frac{2i}{-1 - i\sqrt{3}}$
= $\frac{-\sqrt{3}}{2} - \frac{i}{2}$
Work Step by Step
$\frac{2i}{-1 - i\sqrt{3}}$
= $\frac{2cis90^\circ}{2cis240^\circ}$
= $cis(90-240)^\circ$
= $cis(-150)^\circ$
= $\frac{-\sqrt{3}}{2} - \frac{i}{2}$
Trigonometry (11th Edition) Clone
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
978-0-13-421743-7
ISBN 13:
978-0-13421-743-7
Chapter 8 - Complex Numbers, Polar Equations, and Parametric Equations - Section 8.3 The Product and Quotient Theorems - 8.3 Exercises - Page 376: 24
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