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: 47

Answer

$\sin\theta=\frac{y}{r}=\frac{6}{\sqrt {37}}=\frac{6\sqrt {37}}{37}$ $\cos\theta=\frac{x}{r}=\frac{-1}{\sqrt {37}}=\frac{-\sqrt {37}}{37}$ $\tan\theta=\frac{y}{x}=\frac{6}{-1}=-6$ $\csc\theta=\frac{1}{\sin\theta}=\frac{\sqrt {37}}{6}$ $\sec\theta=\frac{1}{\cos\theta}=\frac{\sqrt {37}}{-1}=-\sqrt {37}$ $\cot\theta=\frac{1}{\tan\theta}=-\frac{1}{6}$

Work Step by Step

$x=-1$ $y=6$ $r=\sqrt {(-1)^{2}+(6)^{2}}=\sqrt {1+36}=\sqrt {37}$
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