Trigonometry (10th Edition)

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

Chapter 2 - Acute Angles and Right Triangles - Section 2.1 Trigonometric Functions of Acute Angles - 2.1 Exercises: 28

Answer

$\cos$($\theta$ + 20$^{\circ}$) = $\sin$(70$^{\circ}$ - $\theta$ )

Work Step by Step

According to the Cofunction Identities $\cos$$A$ = $\sin$(90$^{\circ}$ - $A$) $\cos$($\theta$ + 20$^{\circ}$) Therefore: $\cos$($\theta$ + 20$^{\circ}$) = $\sin$(90$^{\circ}$ - 20$^{\circ}$ - $\theta$ ) $\cos$($\theta$ + 20$^{\circ}$) = $\sin$(70$^{\circ}$ - $\theta$ )
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