Answer
See sketch, $sin\theta= -\frac{5}{13}$, $cos\theta= -\frac{12}{13}$, $tan\theta= \frac{5}{12}$, $cot\theta= \frac{12}{5}$, $sec\theta= -\frac{13}{12}$, $csc\theta= -\frac{13}{5}$
Work Step by Step
1. See sketch.
2. We can find $sin\theta=\frac{-5}{\sqrt {(-5)^2+(-12)^2}}=-\frac{5}{13}$
3. We can find $cos\theta=\frac{-12}{\sqrt {(-5)^2+(-12)^2}}=-\frac{12}{13}$
4. We can find $tan\theta=\frac{-5}{-12}=\frac{5}{12}$
5. We can find $cot\theta=\frac{-12}{-5}=\frac{12}{5}$
6. We can find $sec\theta=\frac{1}{cos\theta}=-\frac{13}{12}$
7. We can find $csc\theta=\frac{1}{sin\theta}=-\frac{13}{5}$
