Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 6 - Section 6.3 - Trigonometric Functions of Angles - 6.3 Exercises - Page 499: 33

Answer

Exact value of $\cot (-\frac{\pi}{4}) = -1$

Work Step by Step

Exact value of $\cot (-\frac{\pi}{4})$ As $ -\frac{\pi}{4}$ terminates in quadrant IV, its $\cot$ will be negative. Therefore - $\cot (-\frac{\pi}{4})$ = $-\cot\frac{\pi}{4}$ = $-1$
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