Polar Coordinates

In this video I go over one of my favorite topics in all of mathematics, and that is Polar Coordinates. A coordinate system represents a point in a plane by a pair of numbers called coordinates. In the basic Cartesian coordinate system, the pair of numbers (x, y) represent the horizontal and vertical distances perpendicular to the x and y axes. On the polar coordinate system represents an ordered pair (r, θ), in which the distance r is the distance from the origin O, and θ is the angle between the point and the “polar axis”. The polar axis is usually horizontal and corresponds to the positive x-axis in Cartesian coordinates. The angle θ is usually in radians. In this video I go over some more properties of the polar coordinate system, as well as the common definitions, such as a positive angle is counter-clockwise, etc., which I will be referencing in later videos. The polar coordinate system is much better suited to circular shapes such as circles, and other curves, because it better aligns with the nature of the curves, as opposed to the box-like Cartesian coordinate system. This is a VERY important introduction video into the wonderful world of Polar Coordinates so make sure to watch this video, as I will be exploring some truly amazing curves in later videos, so stay tuned for more!

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Related Videos:

Parametric Equations and Polar Coordinates: https://youtu.be/usSors49Gdw .

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