Answer
See answers below.
Work Step by Step
1. Use the unit circle, we can fine the coordinates of the endpoint for the angle as $(-\frac{\sqrt 3}{2},-\frac{1}{2})$, thus we have:
2. $sin(\frac{7\pi}{6})=y=-\frac{1}{2}$
3. $cos(\frac{7\pi}{6})=x=-\frac{\sqrt 3}{2}$
4. $tan(\frac{7\pi}{6})=\frac{y}{x}=\frac{\sqrt 3}{3}$
5. $cot(\frac{7\pi}{6})=\frac{x}{y}=\sqrt 3$
6. $sec(\frac{7\pi}{6})=\frac{1}{x}=-\frac{2\sqrt 3}{3}$
7. $csc(\frac{7\pi}{6})=\frac{1}{y}=-2$
