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: 53

Answer

$\sin\theta=\frac{y}{r}=\frac{-\sqrt {3}}{2}$ $\cos\theta=\frac{x}{r}=\frac{-1}{2}$ $\tan\theta=\frac{y}{x}=\frac{-\sqrt {3}}{-1}=-\sqrt 3$ $\csc\theta=\frac{1}{\sin\theta}=\frac{2}{-\sqrt {3}}=-\frac{2\sqrt 3}{3}$ $\sec\theta=\frac{1}{\cos\theta}=\frac{2}{-1}=-2$ $\cot\theta=\frac{1}{\tan\theta}=\frac{1}{\sqrt {3}}=\frac{\sqrt {3}}{3}$

Work Step by Step

$x=1$ $y=-\sqrt {3}$ $r=\sqrt {(1)^{2}+(-\sqrt {3})^{2}}=\sqrt {1+3}=2=$
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