Answer
See sketch, $sin\theta= -\frac{8}{17}$, $cos\theta= \frac{15}{17}$, $tan\theta= -\frac{8}{15}$, $cot\theta= -\frac{15}{8}$, $sec\theta= \frac{17}{15}$, $csc\theta= -\frac{17}{8}$
Work Step by Step
1. See sketch.
2. We can find $sin\theta=\frac{-8}{\sqrt {(15)^2+(-8)^2}}=-\frac{8}{17}$
3. We can find $cos\theta=\frac{15}{\sqrt {(15)^2+(-8)^2}}=\frac{15}{17}$
4. We can find $tan\theta=\frac{-8}{15}=-\frac{8}{15}$
5. We can find $cot\theta=\frac{15}{-8}=-\frac{15}{8}$
6. We can find $sec\theta=\frac{1}{cos\theta}=\frac{17}{15}$
7. We can find $csc\theta=\frac{1}{sin\theta}=-\frac{17}{8}$
