Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 1 - Trigonometric Functions - Section 1.4 Using the Definitions of the Trigonometric Functions - 1.4 Exercises: 104

Answer

$\theta=1^{\circ}$

Work Step by Step

1. Secant and cosine are reciprocals $\sec\theta=\frac{1}{\cos\theta}$ 2. Rewrite secant as cosine $\cos(5\theta +3^{\circ})=\cos(2\theta+6^{\circ})$ 3.Since the cosine values are equal, the angles themselves must be equal. $5\theta -2\theta= 6-3$ $3\theta=3$ $\theta=1^{\circ}$
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.