Precalculus (10th Edition)

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

Chapter 8 - Applications of Trigonometric Functions - Chapter Review - Review Exercises - Page 557: 1

Answer

$sin\theta=\frac{4}{5}$, $cos\theta=\frac{3}{5}$, $tan\theta=\frac{4}{3}$, $cot\theta=\frac{3}{4}$, $sec\theta=\frac{5}{3}$, $csc\theta=\frac{5}{4}$.

Work Step by Step

Letting $x=3, y=4, r=\sqrt {3^2+4^2}=5$, we have: $sin\theta=\frac{4}{5}$, $cos\theta=\frac{3}{5}$, $tan\theta=\frac{4}{3}$, $cot\theta=\frac{3}{4}$, $sec\theta=\frac{5}{3}$, $csc\theta=\frac{5}{4}$.
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