Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 3 - Section 3.3 - Definition III: Circular Functions - 3.3 Problem Set: 11

Answer

$sec120^{\circ}$ = -2

Work Step by Step

Recall: $\sec\theta$ = $\frac{1}{\cos\theta}$ Substitute: $\sec120^{\circ}$ = $\frac{1}{\cos120^{\circ}}$ Simplify: $\sec120^{\circ}$ = $\frac{1}{\frac{-1}{2}}$ $\sec120^{\circ}$ = $\frac{1}{1}$ $\times$ $\frac{2}{-1}$ $\sec120^{\circ}$ = -2
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