Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 6 - Review Exercises - Page 500: 37


(a) $sin~\theta=\frac{1}{4}$ (b) $cos~\theta=\frac{\sqrt {15}}{4}$ (c) $sec~\theta=\frac{4\sqrt {15}}{15}$ (d) $tan~\theta=\frac{\sqrt {15}}{15}$

Work Step by Step

(a) $sin~\theta=\frac{1}{csc~\theta}=\frac{1}{4}$ (b) $sin^2\theta+cos^2\theta=1$ $cos^2\theta=1-\frac{1}{16}$ $cos^2\theta=\frac{15}{16}$ $cos~\theta=\frac{\sqrt {15}}{4}$ (c) $sec~\theta=\frac{1}{cos~\theta}=\frac{4}{\sqrt {15}}=\frac{4\sqrt {15}}{15}$ (d) $tan~\theta=\frac{sin~\theta}{cos~\theta}=\frac{\frac{1}{4}}{\frac{\sqrt {15}}{4}}=\frac{1}{\sqrt {15}}=\frac{\sqrt {15}}{15}$
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