## Trigonometry (11th Edition) Clone

Published by Pearson

# Chapter 8 - Complex Numbers, Polar Equations, and Parametric Equations - Section 8.3 The Product and Quotient Theorems - 8.3 Exercises - Page 376: 33

#### Answer

$\frac{45(cos(\frac{2\pi}{3}) + isin(\frac{2\pi}{3}))}{22.5(cos(\frac{3\pi}{5}) + isin(\frac{3\pi}{5}))}$ = $1.9563 + 0.4158i$

#### Work Step by Step

$\frac{45(cos(\frac{2\pi}{3}) + isin(\frac{2\pi}{3}))}{22.5(cos(\frac{3\pi}{5}) + isin(\frac{3\pi}{5}))}$ = $2 cis(\frac{2\pi}{3} - \frac{3\pi}{5})$ (Quotient Theorem) = $2 cis(\frac{\pi}{15})$ = $1.9563 + 0.4158i$ (Using calculator and corr. to 4 decimal places)

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