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