Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 6 - Trigonometric Functions - 6.3 Properties of the Trigonometric Functions - 6.3 Assess Your Understanding - Page 394: 35


$\tan\theta=-\frac{3}{4}$ $\cot\theta=-\frac{4}{3}$ $\csc\theta=-\frac{5}{3}$ $\sec\theta=\frac{5}{4}$

Work Step by Step

The remaining four trigonomteric functions are: $\tan\theta=\dfrac{\sin\theta}{\cos\theta}=\dfrac{-\frac{3}{5}}{\frac{4}{5}}=\dfrac{-3}{4}$ $\cot\theta=\dfrac{\cos\theta}{\sin\theta}=\dfrac{\frac{4}{5}}{-\frac{3}{5}}=\dfrac{4}{-3}$ $\csc\theta=\dfrac{1}{\sin\theta}=\dfrac{1}{-\frac{3}{5}}=\dfrac{5}{-3}$ $\sec\theta=\dfrac{1}{\cos\theta}=\dfrac{1}{\frac{4}{5}}=\dfrac{5}{4}$
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