Question

How do you plot the polar coordinate `(-2, (7pi)/6)`?

Answer 1

You can change the radius from negative to positive by adding or subtracting `pi` from the angle as appropriate.

Explanation:

By "as appropriate", I mean that you add `pi`, if that will not make the angle greater than `2pi`, otherwise, you subtract `pi`.

Because adding `pi` to the given angle would make the angle greater than `2pi`, we subtract `pi` from the given angle and change the sign of the radius from negative to positive:

`(-2, (7pi)/6) to (2, pi/6)`

Now you can plot the point on polar graph paper.