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: 59

Answer

3 $|\cos\theta|$

Work Step by Step

Given expression- $ \sqrt {9 - x^{2}}$ Substituting $3\sin\theta$ for $x$ as given, the expression becomes- $ \sqrt {9 - (3\sin\theta)^{2}}$ = $ \sqrt {9 -9\sin^{2}\theta}$ = $ \sqrt {9(1 - \sin^{2}\theta)}$ = $ \sqrt {9\cos^{2}\theta}$ { Writing $(1 - \sin^{2}\theta)$ as $ \cos^{2}\theta$ using first Pythagorean identity} = 3 $|\cos\theta|$
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.