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: 36


(a) $cot~\theta=\frac{1}{4}$ (b) $sec~\theta=\sqrt {17}$ (c) $cos~\theta=\frac{\sqrt {17}}{17}$ (d) $csc~\theta=\frac{\sqrt {17}}{4}$

Work Step by Step

(a) $cot~\theta=\frac{1}{tan~\theta}=\frac{1}{4}$ (b) $sec^2~\theta=tan^2~\theta+1=16+1=17$ $sec~\theta=\sqrt {17}$ (c) $cos~\theta=\frac{1}{sec~\theta}=\frac{1}{\sqrt {17}}=\frac{\sqrt {17}}{17}$ (d) $csc^2~\theta=cot^2~\theta+1=\frac{1}{16}+1=\frac{17}{16}$ $csc~\theta=\frac{\sqrt {17}}{4}$
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