Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 1 - Section 1.4 - Introduction to Identities - 1.4 Problem Set - Page 41: 55

Answer

$\sin{\theta} = 0.23$ $\cos{\theta} =0.97$ $\tan{\theta} = 0.24$ $\csc{\theta} = 4.35$ $\sec{\theta} =1.03$ $\cot{\theta} =4.22 $

Work Step by Step

$\sin{\theta} = 0.23$ $\because \theta \in QI \hspace{20pt} \therefore \cos{\theta}$ is positive. $\cos{\theta} = \sqrt{1-(0.23)^2} \approx 0.97$ $\tan{\theta} = \dfrac{\sin{\theta}}{\cos{\theta}} \approx 0.24$ $\csc{\theta} = \dfrac{1}{\sin{\theta}} = \dfrac{1}{0.23} \approx 4.35$ $\sec{\theta} = \dfrac{1}{\cos{\theta}} = \dfrac{1}{0.97} \approx 1.03$ $\cot{\theta} = \dfrac{\cos{\theta}}{\sin{\theta}}\approx 4.22 $
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