Answer
See sketch, $sin\theta= -\frac{24}{25}$, $cos\theta= -\frac{7}{25}$, $tan\theta= \frac{24}{7}$, $cot\theta=\frac{7}{24}$, $sec\theta= -\frac{25}{7}$, $csc\theta= -\frac{25}{24}$
Work Step by Step
1. See sketch.
2. We can find $sin\theta=\frac{-24}{\sqrt {(-7)^2+(-24)^2}}=-\frac{24}{25}$
3. We can find $cos\theta=\frac{-7}{\sqrt {(-7)^2+(-24)^2}}=-\frac{7}{25}$
4. We can find $tan\theta=\frac{-24}{-7}=\frac{24}{7}$
5. We can find $cot\theta=\frac{-7}{-24}=\frac{7}{24}$
6. We can find $sec\theta=\frac{1}{cos\theta}=-\frac{25}{7}$
7. We can find $csc\theta=\frac{1}{sin\theta}=-\frac{25}{24}$
