Functions (mathematics)/Graphs/Coordinations

Cartesian Coordination

A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length. Each reference line is called a coordinate axis or just axis of the system, and the point where they meet is its origin, usually at ordered pair (0, 0). The coordinates can also be defined as the positions of the perpendicular projections of the point onto the two axes, expressed as signed distances from the origin.

A point on Cartesian coordination will be A (x,y) . Where x represents length in x direction and y represents length in x direction

Polar Coordination

In mathematics, the polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction.

A point on Cartesian coordination will be A (r,θ) . Where r represents length in r direction and θ represents angle of incline

Coordination Conversion

Cartesian to Polar coordination

$r={\sqrt {x^{2}+y^{2}}}$

$\theta =Tan^{-1}{\frac {y}{x}}$

Polar to Cartesian coordination

$x=rCos\theta$

$x=rSin\theta$

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