Relation between polar coordinate system and Cartesian system
A frequently utilized non-cartesian system is Polar coordinate system. The subsequent figure A demonstrates a polar coordinate reference frame. Within polar coordinate system a coordinate position is identified via r andq, here r is a radial distance from the coordinate origin and q is an angular displacement from the horizontal as in figure 2A. Positive angular displacements are counter clockwise. Angle q is measured in degrees. One full counter-clockwise revolution regarding the origin is treated as 360^{0}. A relation among Cartesian and polar coordinate system is demonstrated in Figure 2B.
Figure: A polar coordinate reference-frame Figure 2B: Relation between Polar and Cartesian coordinates
Consider a right angle triangle in Figure B. By utilizing the description of trigonometric functions; we transform polar coordinates to Cartesian coordinates:
x=r.cosθ
y=r.sinθ
The opposite transformation from Cartesian to Polar coordinates is:
r=√(x^{2}+y^{2}) and θ=tan^{-1}(y/x)