Algebra and Trigonometry 10th Edition

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

Chapter 6 - 6.2 - Right Triangle Trigonometry - 6.2 Exercises - Page 442: 56


(a) $θ=60°=\frac{\pi}{3}rad$ (b) $θ=45°=\frac{\pi}{4}rad$

Work Step by Step

Consult the table on page 436: (a) $cot~θ=\frac{\sqrt 3}{3}$ $\frac{1}{tan~θ}=\frac{\sqrt 3}{3}$ $tan~θ=\frac{3}{\sqrt 3}=\frac{3}{\sqrt 3}\frac{\sqrt 3}{\sqrt 3}=\frac{3\sqrt 3}{3}=\sqrt 3$ $θ=60°=\frac{\pi}{3}rad$ (b) $sec~θ=\sqrt 2$ $\frac{1}{cos~θ}=\sqrt 2$ $cos~θ=\frac{1}{\sqrt 2}=\frac{1}{\sqrt 2}\frac{\sqrt 2}{\sqrt 2}=\frac{\sqrt 2}{2}$ $θ=45°=\frac{\pi}{4}rad$
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