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