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: 24


Angle in Radians: $\frac{\pi}{4}$ Value: $\frac{\sqrt 2}{2}$

Work Step by Step

Note: To convert between degrees and radians use the following formula: $\frac{1^{o}}{}$$\frac{\pi}{180}$=$\frac{radians}{}$ We are given that there is $45^{o}$. Using the above formula, the equivalence in radians is : $\frac{45^{o}}{}$$\frac{\pi}{180}$=$\frac{\pi}{4}$ Using the unit circle, we know that cos($45^{o}$) = $\frac{\sqrt 2}{2}$
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