Algebra and Trigonometry 10th Edition

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

Chapter 7 - Review Exercises - Page 552: 23


The identity is verified. $\frac{1}{tan~θ~csc~θ}=cos~θ$

Work Step by Step

$csc~θ=\frac{1}{sin~θ}$ $tan~θ=\frac{sin~θ}{cos~θ}$ $\frac{1}{tan~θ~csc~θ}=\frac{1}{\frac{sin~θ}{cos~θ}~\frac{1}{sin~θ}}=\frac{1}{\frac{1}{cos~θ}}=1~\frac{cos~θ}{1}=cos~θ$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.