Question

How do you convert the Cartesian coordinates (-2,-2) to polar coordinates?

Answer 1

`(x,y) = (-2,-2) iff (r,theta) = (2sqrt(2),(5pi)/4)`

Explanation:

Given `(x,y) = (-2,-2)`

Since `x=y` we have a reference angle of `pi/4`
and since both `x` and `y` are negative the point is in Quadrant III
`rArr theta = (5pi)/4`

The radius, `r` can be calculated using the Pythagorean Theorem:
`color(white)("XX")r=sqrt((-2)^2+(-2)^2) = 2sqrt(2)`