Trigonometry 7th Edition

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

Chapter 1 - Section 1.5 - More on Identities - 1.5 Problem Set - Page 46: 71

Answer

Showed that given statement, $\frac{\csc\theta}{\cot\theta}$ = $\sec\theta$, is an identity as left side transforms into right side.

Work Step by Step

Given statement is- $\frac{\csc\theta}{\cot\theta}$ = $\sec\theta$ Left Side = $\frac{\csc\theta}{\cot\theta}$ = $\frac{1/\sin\theta}{\cos\theta/\sin\theta}$ (Using reciprocal identity) = $ \frac{1}{\sin\theta} \times \frac{\sin\theta}{\cos\theta}$ = $\frac{1}{\cos\theta}$ = $\sec\theta$ = Right Side i.e. Left Side transforms into Right Side i.e. Given statement, $\frac{\csc\theta}{\cot\theta}$ = $\sec\theta$, is an identity.
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.