Answer
See graph and explanations.
Work Step by Step
1. Plot the point $(0,-2)$ (red) as shown in the figure.
2. Connect the point with the origin, and angle $\theta$ is indicated.
3. We have $sin\theta=-1$
4. We have $cos\theta=0$
5. We have $tan\theta$ as undefined.
6. We have $cot\theta=0$
7. We have $sec\theta$ as undefined.
8. We have $csc\theta=-1$