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 - Page 26: 5

Answer

$\sin\theta=\frac{y}{r}=\frac{15}{17}$ $\cos\theta=\frac{x}{r}=\frac{-8}{17}$ $\tan\theta=\frac{y}{x}=\frac{15}{-8}$ $\csc\theta=\frac{r}{y}=\frac{17}{15}$ $\sec\theta=\frac{r}{x}=\frac{17}{-8}$ $\cot\theta=\frac{x}{y}=\frac{-8}{15}$

Work Step by Step

$x=-8$ $y=15$ $r=\sqrt{(-8)^{2}+(15)^{2}}=\sqrt {64+225}= 17$
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