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...
$=-\displaystyle \frac{\sqrt{3}}{3}$