Answer
(a) $1$, $\sqrt 3$
(b) $\frac{2\sqrt 3}{3}$, $\frac{4\sqrt 3}{3}$
Work Step by Step
(a) See the first figure; we have $a=2cos\frac{\pi}{3}=2\times\frac{1}{2}=1$ and $b=2sin\frac{\pi}{3}=2\times\frac{\sqrt 3}{2}=\sqrt 3$
(b) See the second figure; we have $a=2cot\frac{\pi}{3}=2\times\frac{\sqrt 3}{3}=\frac{2\sqrt 3}{3}$ and $c=2csc\frac{\pi}{3}=2\times\frac{2\sqrt 3}{3}=\frac{4\sqrt 3}{3}$
