Final answer:
To convert the equation x y=1 to polar coordinates, substitute the formulas x = r * cos(q) and y = r * sin(q) into the equation and simplify.
Step-by-step explanation:
To convert the equation x y=1 to polar coordinates, we can use the formulas x = r * cos(q) and y = r * sin(q), where r represents the distance from the origin to the point and q is the angle that the line makes with the positive x-axis. Let's substitute these formulas into the given equation:
r * cos(q) * r * sin(q) = 1
Simplifying the equation:
r² * cos(q) * sin(q) = 1
So, the equation in polar coordinates is r² * cos(q) * sin(q) = 1.