# Question #4467f

Jan 27, 2018

See explanation.

#### Explanation:

For the given point $r = 17$ because $8 , 15 , 17$ is a Pythagorean triple.

$\sin \left(\theta\right) = \frac{y}{r} \rightarrow \sin \left(\theta\right) = - \frac{15}{17}$
$\cos \left(\theta\right) = \frac{x}{r} \rightarrow \cos \left(\theta\right) = \frac{8}{17}$
$\tan \left(\theta\right) = \frac{y}{x} \rightarrow \tan \left(\theta\right) = - \frac{15}{8}$
$\csc \left(\theta\right) = \frac{r}{y} \rightarrow \csc \left(\theta\right) = - \frac{17}{15}$
$\sec \left(\theta\right) = \frac{r}{x} \rightarrow \sec \left(\theta\right) = \frac{17}{8}$
$\cot \left(\theta\right) = \frac{x}{y} \rightarrow \cot \left(\theta\right) = - \frac{8}{15}$