Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 1 - Section 1.4 - Introduction to Identities - 1.4 Problem Set - Page 40: 20


$\tan\theta$ = -$\frac{3}{4}$

Work Step by Step

Ratio identity for $\tan\theta$ is- $\tan\theta$ = $\frac{\sin\theta}{\cos\theta}$ Substituting given values of $\sin\theta$ and $\cos\theta$- $\tan\theta$ = $\frac{\frac{3}{5}}{-\frac{4}{5}}$ = -$\frac{3 \times 5}{5\times4}$ = -$\frac{3}{4}$ or $\tan\theta$ = -$\frac{3}{4}$
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