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 - Page 52: 23

Answer

$\csc$ 60$^{\circ}$ = $\sec$ 30$^{\circ}$

Work Step by Step

According to the Cofunction Identities $\csc$ $A$ = $\sec$ (90$^{\circ}$ - $A$) Therefore: $\csc$ 60$^{\circ}$ = $\sec$ (90$^{\circ}$ - 60$^{\circ}$) = $\sec$ 30$^{\circ}$ Therefore: $\csc$ 60$^{\circ}$ = $\sec$ 30$^{\circ}$
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