Question

How do you plot `A(4,0^o)`, `B(7,180^o)`, and `C(9,45^o)` in a polar coordinate system?

Answer 1

Please see below.

Explanation:

Generally when a point is mentioned in polar coordinates, it is in the form `(r,theta)` i.e. we move at an angle of `theta` and then at a distance of `r` from pole (equivalent to point `(0,0)` in Cartesian coordinates). `r` is then always taken as positive.

Hence, `A` is along line for `0^@` at a distance `4` from pole, `B` is along line for `180^@` at a distance `7` from pole and `C` is along line for `45^@` at a distance `9` from pole. They together form an obtuse angled triangle, as shown below.