Answer
The polar equation for the curve is represented by $y =2$ is: $r = 2csc(\theta)$
Work Step by Step
$y = 2$
Since $y = rsin(\theta)$, we can substitute this expression and get:
$rsin(\theta) = 2$
Finally, solve for $r$, by dividing both sides by $sin(\theta)$
$r = \frac{2}{sin(\theta)}$
We can also write the expression as:
$r = 2\frac{1}{sin(\theta)} = 2csc(\theta)$