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: 102

Answer

$A=5^{\circ}$

Work Step by Step

1. Secant and cosine are reciprocals $\cos\theta=\frac{1}{\\sec\theta}$ 2. Rewrite secant as cosine $\cos(6A +5^{\circ})=\cos(4A+15^{\circ})$ 3.Since the tangent values are equal, the angles themselves must be equal. $6\theta -4\theta= 15-5$ $2\theta=10$ $\theta=5^{\circ}$
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