Answer
$\frac{1}{2}$, $ -\sqrt 3$, and $ -\frac{2\sqrt 3}{3}$
Work Step by Step
Given $\theta=150^\circ$, we have $sin\theta =sin30^\circ=\frac{1}{2}$, $cot\theta = \frac{1}{tan\theta}=-\sqrt 3$, and $sec\theta = \frac{1}{cos\theta}=-\frac{2\sqrt 3}{3}$