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: 10


$sin~θ=\frac{7}{25}$ $cos~θ=\frac{24}{25}$ $tan~θ=\frac{7}{24}$ $csc~θ=\frac{25}{7}$ $sec~θ=\frac{25}{24}$ $cot~θ=\frac{24}{7}$

Work Step by Step

First, let's evaluate the hypotenuse: $(hyp)^2=(opp)^2+(adj)^2$ $hyp=\sqrt {7^2+24^2}=\sqrt {625}=25$ $sin~θ=\frac{opp}{hyp}=\frac{7}{25}$ $cos~θ=\frac{adj}{hyp}=\frac{24}{25}$ $tan~θ=\frac{opp}{adj}=\frac{7}{24}$ $csc~θ=\frac{hyp}{opp}=\frac{25}{7}$ $sec~θ=\frac{hyp}{adj}=\frac{25}{24}$ $cot~θ=\frac{adj}{opp}=\frac{24}{7}$
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