Question

How do you convert `(0, - 3)` into polar coordinates?

Answer 1

`color(maroon)((r, theta) = (3, (3pi)/2)`

Explanation:

`(x,y) = (0, -3)`

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`r = sqrt(x^2 + y^2) = sqrt(0^2 + -3^2) = 3`

`theta = arctan (y/x) = arctan (-3/0) = arctan(-oo) = -90^@ " or " (3pi)/2`