Answer
$-\frac{1}{2}$, $\frac{\sqrt 3}{2}$, $-\frac{\sqrt 3}{3}$, $-\sqrt 3$, $\frac{2\sqrt 3}{3}$, and $-2$.
Work Step by Step
Given $\theta=-390^\circ=-360^\circ-30^\circ$ (quadrant IV), we have $sin\theta =-sin30^\circ=-\frac{1}{2}$, $cos\theta =cos30^\circ=\frac{\sqrt 3}{2}$, $tan\theta =-tan30^\circ=-\frac{\sqrt 3}{3}$, $cot\theta = \frac{1}{tan\theta}=-\sqrt 3$, $sec\theta = \frac{1}{cos\theta}=\frac{2\sqrt 3}{3}$, and $csc\theta = \frac{1}{sin\theta}=-2$.
