Answer
(a) $\frac{13\pi}{6}$
$-\frac{11\pi}{6}$
(b) $\frac{7\pi}{6}$
$-\frac{17\pi}{6}$
Work Step by Step
(a) $\frac{\pi}{6}+2\pi=\frac{\pi}{6}+\frac{12\pi}{6}=\frac{13\pi}{6}$
$\frac{\pi}{6}-2\pi=\frac{\pi}{6}-\frac{12\pi}{6}=-\frac{11\pi}{6}$
(b) $-\frac{5\pi}{6}+2\pi=-\frac{5\pi}{6}+\frac{12\pi}{6}=\frac{7\pi}{6}$
$-\frac{5\pi}{6}-2\pi=-\frac{5\pi}{6}-\frac{12\pi}{6}=-\frac{17\pi}{6}$