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: 45

Answer

$tan(-x) = -tan~x$

Work Step by Step

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