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: 52

Answer

$\sin\theta=\frac{y}{r}=\frac{11}{2\sqrt {3}}=\frac{11\sqrt {3}}{6}$ $\cos\theta=\frac{x}{r}=\frac{1}{2\sqrt {3}}=\frac{\sqrt {3}}{6}$ $\tan\theta=\frac{y}{x}=\frac{11}{1}=11$ $\csc\theta=\frac{1}{\sin\theta}=\frac{2\sqrt {3}}{11}$ $\sec\theta=\frac{1}{\cos\theta}=2\sqrt {3}$ $\cot\theta=\frac{1}{\tan\theta}=\frac{1}{11}$

Work Step by Step

$x=1$ $y=11$ $r=\sqrt {(1)^{2}+(11)^{2}}=\sqrt {1+11}=\sqrt {12}=2 \sqrt 3$
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