Trigonometry 7th Edition

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

Chapter 3 - Section 3.1 - Reference Angle - 3.1 Problem Set - Page 122: 28



Work Step by Step

To find exact value of $\sec 300^{\circ}$, let's find its reference angle first. As $ 300^{\circ}$ terminates in quadrant IV, The reference angle = $ 360^{\circ} - 300^{\circ}$ = $60^{\circ}$ As $ 300^{\circ}$ terminates in quadrant IV, its $\sec$ will be positive. Therefore by reference angle theorem- $\sec 300^{\circ}$ = $\sec 60^{\circ}$ = 2
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