Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 5 - Section 5.2 - Trigonometric Functions of Real Numbers - 5.2 Exercises - Page 417: 13

Answer

$a.\displaystyle \qquad\frac{1}{2} \\$ $b. \qquad 2 \\$ $c. \displaystyle \qquad -\frac{\sqrt{3}}{2}$

Work Step by Step

$ a.\displaystyle \qquad \cos(-\frac{\pi}{3})=\qquad$... even/odd properties, $=\displaystyle \cos(\frac{\pi}{3})=\qquad$...table p.410 ... $=\displaystyle \frac{1}{2}$ $ b.\displaystyle \qquad \sec(-\frac{\pi}{3})=\qquad$... even/odd properties, $=\displaystyle \sec(\frac{\pi}{3})=\qquad$...table p.410 ... $=2$ $ c. \displaystyle \qquad \sin(-\frac{\pi}{3})=\qquad$... even/odd properties, $=-\displaystyle \sin(\frac{\pi}{3})=\qquad$...table p.410 ... $=-\displaystyle \frac{\sqrt{3}}{2}$
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