Answer
$sin ~\theta = 0$
$cos ~\theta = -1$
$tan ~\theta = 0$
$csc ~\theta$ is undefined
$sec ~\theta = -1$
$cot ~\theta$ is undefined
Work Step by Step
$y = 0, x \leq 0$
Since $x\leq 0$, we can let $x = -1$ and $y = 0$
Then $r = \sqrt{(-1)^2+(0)^2} = 1$
We can find the values of the six trigonometric functions:
$sin ~\theta = \frac{y}{r} = \frac{0}{1} = 0$
$cos ~\theta = \frac{x}{r} = \frac{-1}{1} = -1$
$tan ~\theta = \frac{y}{x} = \frac{0}{-1} = 0$
$csc ~\theta = \frac{r}{y} = \frac{1}{0}$ (undefined)
$sec ~\theta = \frac{r}{x} = \frac{1}{-1} = -1$
$cot ~\theta = \frac{x}{y} = \frac{-1}{0}$ (undefined)
