Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 7 - Analytic Trigonometry - 7.5 Sum and Difference Formulas - 7.5 Assess Your Understanding - Page 489: 109

Answer

See below.

Work Step by Step

Step 1. Using the given figure, we have $\theta_2=\theta+\theta_1$, thus $\theta=\theta_2-\theta_1$ Step 2. We have $tan\theta=tan(\theta_2-\theta_1)=\frac{tan(\theta_2)-tan(\theta_1)}{1+tan(\theta_2)tan(\theta_1)}=\frac{m_2-m_1}{1+m_1m_2}$
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.

GradeSaver will pay $15 for your literature essays
GradeSaver will pay $25 for your college application essays
GradeSaver will pay $50 for your graduate school essays – Law, Business, or Medical
GradeSaver will pay $10 for your Community Note contributions
GradeSaver will pay $500 for your Textbook Answer contributions