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: 38


(a) $sin~\theta=\frac{1}{5}$ (b) $cot^2\theta=\sqrt {26}$ (c) $tan~\theta=\frac{\sqrt {26}}{26}$ (d) $sec(90°-\theta)=5$

Work Step by Step

(a) $sin~\theta=\frac{1}{csc~\theta}=\frac{1}{5}$ (b) $cot^2\theta=1+csc^2\theta=1+5^2=26$ $cot~\theta=\sqrt {26}$ (c) $tan~\theta=\frac{1}{cot~\theta}=\frac{1}{\sqrt {26}}=\frac{\sqrt {26}}{26}$ (d) $sec(90°-\theta)=csc~\theta=5$
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