Question

Difference between cartesian coordinate system and euclidean space

Answer 1

Point in Euclidean plane can be written in many ways: either using Cartesian coordinate system, or polar coordinate system.
That is same point pp can be written in two ways.
If we are saying Euclidean plane, It simply means that we are giving some axioms and using theorem based on that axioms.
But if we are saying Cartesian plane, it means that with euclidean axiom we are giving some method of representing of points.

The Cartesian system is Euclidean space with coordinates.
The Cartesian Coordinate System unified geometry and algebra into one system of analytic geometry.

Answer 2

Step-by-step explanation:

Answer:

To convert from Polar Coordinates (r,θ) to Cartesian Coordinates (x,y) :

x = r × cos( θ )

y = r × sin( θ )

Answer 3

Step-by-step explanation:

Answer:

To convert from Polar Coordinates (r,θ) to Cartesian Coordinates (x,y) :

x = r × cos( θ )

y = r × sin( θ )