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 441: 23

Answer

Angle in Radians: $\frac{\pi}{6}$ Value: $\frac{1}{\sqrt 3}$

Work Step by Step

Note: To convert between degrees and radians use the following formula: $\frac{1^{o}}{}$$\frac{\pi}{180}$=$\frac{radians}{}$ We are given that there is $30^{o}$. Using the above formula, the equivalence in radians is : $\frac{30^{o}}{}$$\frac{\pi}{180}$=$\frac{\pi}{6}$ Using the unit circle, we know that tan($30^{o}$) = $\frac{1}{\sqrt 3}$
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