Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 1 - Trigonometric Functions - Section 1.3 Trigonometric Functions - 1.3 Exercises: 48

Answer

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

Work Step by Step

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