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: 15

Answer

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

Work Step by Step

$ a.\displaystyle \qquad \cos(-\frac{\pi}{6})=\qquad$... even/odd properties, $=\displaystyle \cos(\frac{\pi}{6})=\qquad$...table p.410 ... $=\displaystyle \frac{\sqrt{3}}{2}$ $ b. \displaystyle \qquad \csc(-\frac{\pi}{3})=\qquad$... even/odd properties, $=-\displaystyle \csc(\frac{\pi}{3})\qquad$...table p.410... $=-\displaystyle \frac{2\sqrt{3}}{3}$ $ c. \displaystyle \qquad \tan(-\frac{\pi}{6})=\qquad$... even/odd properties, $=-\displaystyle \tan(\frac{\pi}{6})=\qquad$...table p.410... $=-\displaystyle \frac{\sqrt{3}}{3}$
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