Trigonometry (10th Edition)

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

Chapter 1 - Trigonometric Functions - Section 1.3 Trigonometric Functions - 1.3 Exercises - Page 27: 68

Answer

$\sec (-540^{\circ}) =-1$

Work Step by Step

1. What we know about -540 degree angle $\theta=180^{\circ}$ (because it is a co-terminal angle and values of x and y will be the same) $x=-1$ $y=0$ $r=1$ 2. Substitute in: $\sec\theta=\frac{r}{x}=\frac{1}{-1}=-1$
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