Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 7 - Trigonometric Identities and Equations - 7.4 Double-Angle and Half-Angle Identities - 7.4 Exercises: 76

Answer

$\displaystyle \tan\frac{5A}{2}$

Work Step by Step

Comparing with the Half-Angle Identity $\displaystyle \tan\frac{A}{2}=\pm\sqrt{\frac{1-\cos A}{1+\cos A}}$, if we replace $A$ with $5A$ in the identity, the RHS equals the given expression. So, the LHS =$ \displaystyle \tan\frac{5A}{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.