Question

How do you convert `(4, 0)` into polar form?

Answer 1

(4,0) in rectangular coordinates = (4,0) in polar coordinates.

Explanation:

In rectangular coordinates, (x,y) represents the x and y position of the point in the plane.
In polar coordinates, it is represented by (r, `theta`), where r is the distance from the origin and `theta` is the counterclockwise angle in radians.
The conversion from rectangular to polar can be achieved by the formulas:
`r^2 = x^2+y^2`
`theta = arctan(y/x)`

In our case, `r^2 = 4^2 + 0` `=>r=4`
And `arctan(0/4) = 0 => theta = 0`

So, our polar coordinates are (4,0).