Trigonometry (10th Edition)

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

Chapter 4 - Graphs of the Circular Functions - Section 4.3 Graphs of the Tangent and Cotangent Functions - 4.3 Exercises - Page 167: 46

Answer

$cot(-x) = -cot~x$

Work Step by Step

$cot(-x) = \frac{cos~(-x)}{sin~(-x)}$ $cot(-x) = \frac{cos~(x)}{-sin~(x)}$ $cot(-x) = -\frac{cos~(x)}{sin~(x)}$ $cot(-x) = -cot~x$
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