Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 1 - Trigonometric Functions - Section 1.3 Trigonometric Functions - 1.3 Exercises - Page 28: 52


$\sin\theta=\frac{y}{r}=\frac{-3}{\sqrt {34}}=\frac{-3\sqrt {34}}{34}$ $\cos\theta=\frac{x}{r}=\frac{5}{\sqrt {34}}=\frac{5\sqrt {34}}{34}$ $\tan\theta=\frac{y}{x}=\frac{-3}{5}=-0.6$ $\csc\theta=\frac{1}{\sin\theta}=-\frac{\sqrt {34}}{3}$ $\sec\theta=\frac{1}{\cos\theta}=\frac{\sqrt {34}}{5}$ $\cot\theta=\frac{1}{\tan\theta}=-\frac{5}{3}$

Work Step by Step

$x=5$ $y=-3$ $r=\sqrt {(5)^{2}+(-3)^{2}}=\sqrt {25+9}=\sqrt {34}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.