Answer
See graph below.
Work Step by Step
The question ONLY asks for a graph of the polar equation.
Given $rθ = 1$ $θ \geq 0$
Table of Values:
$(1, 0)$
$(\frac{3}{\pi}, \frac{\pi}{3})$
$(\frac{2}{\pi}, \frac{\pi}{2})$
$(\frac{3}{2\pi}, \frac{2\pi}{3})$
$(\frac{1}{\pi},\pi)$
$(\frac{3}{4\pi}, \frac{4\pi}{3})$
$(\frac{2}{3\pi}, \frac{3\pi}{2})$
$(\frac{3}{5\pi}, \frac{5\pi}{3})$
See graph below. It is in the shape of a reciprocal spiral.