Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 5 - Trigonometric Identities - Section 5.1 Fundamental Identities - 5.1 Exercises - Page 201: 55



Work Step by Step

$$A=\sec\theta\cot\theta\sin\theta$$ - Quotient Identity: $$\cot\theta=\frac{\cos\theta}{\sin\theta}$$ - Reciprocal Identity: $$\sec\theta=\frac{1}{\cos\theta}$$ We replace these into $A$, and we have $$A=\frac{1}{\cos\theta}\times\frac{\cos\theta}{\sin\theta}\times\sin\theta$$ After all the eliminations, we are left with $$A=1$$
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.