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