Polar coordinate is written in the form ([tex]r[/tex],Θ°), where
[tex]r= \sqrt{x^{2}+ y^{2} } [/tex]
Θ=[tex]tan^{-1} ( \frac{y}{x} )[/tex]
Θ is the angle formed between the side 'r' and the horizontal line as shown in the diagram below.
We have the cartesian coordinate (0, -2) with x=0 and y=-2
[tex]r = \sqrt{0^{2} + (-2)^{2} } = \sqrt{4} =2[/tex]
For the coordinate (0, -2) there is no angle formed between the line and horizontal line, so Θ=0
Hence the polar coordinate is (2, 0°)
