Write an equivalent equation using polar coordinates. x-y=10

Question

I may be overthinking this but I have no idea what to do.

Answer 1

In rectangular coordinates, we typically write functions as y = f(x) [y equals some function of "x"]

In polar coordinates, we typically write functions as r = f(θ) [r equals some function of "θ"]

To convert to polar coordinates use:

x = rcos(θ) and y = rsin(θ)

So, substituting for "x" and "y", we get:

rcos(θ) - rsin(θ) = 10 then solve for "r"

r(cos(θ) - sin(θ)) = 10

r = 10/(cos(θ) - sin(θ))