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 $\theta=750^\circ=2\times360^\circ+30^\circ$ (quadrant I), 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 $csc\theta = \frac{1}{sin\theta}=2$.
