Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 4 - Section 4.2 - Trigonometric Functions: The Unit Circle - Exercise Set: 45

Answer

-1

Work Step by Step

cot(-t) = -cot t cot(-$\frac{5\pi}{4}$) = -cot $\frac{5\pi}{4}$ -cot($\frac{\pi}{4}$ + $\pi$) = -cot$\frac{\pi}{4}$ -cot t=$\frac{1}{-tan t}$ -cot$\frac{\pi}{4}$ = $\frac{1}{-tan \frac{\pi}{4}}$ -cot$\frac{\pi}{4}$ =$\frac{1}{-1}$ = -1
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