Answer
$ \frac{\sqrt 3}{2}$, $ \frac{\sqrt 3}{3}$, and $ \frac{2\sqrt 3}{3}$.
Work Step by Step
Given $\theta=60^\circ$, we have $sin\theta = \frac{\sqrt 3}{2}$, $cot\theta = \frac{1}{tan\theta}=\frac{\sqrt 3}{3}$, and $csc\theta=\frac{1}{sin\theta}=\frac{2\sqrt 3}{3}$.