Question

How do you convert `y = (pi/6)x` into polar form?

Answer 1

`theta = tan^(-1)(pi/6) and theta = pi+tan^(-1)(pi/6)`, representing radial lines, in opposite directions for the complete line `y=(pi/6)x`, through the origin, with slope `pi/6`.

Explanation:

`x=r cos theta and y=r sin theta`.
The polar equation is `tan theta = pi/6`.

Explicitly, `theta` is as stated in the answer.

The half lines reach out, from r = 0, in opposite directions..