Series: Polar & Parametric: Introduction to Polar Curves
In this video we'll convert entire equations from polar coordinates to rectangular coordinates. Doing so requires us to make the substitutions x=rcos(theta) and y=rsin(theta).
In this video we'll convert entire equations from rectangular coordinates to polar coordinates. Doing so requires us to make the substitutions x=rcos(theta) and y=rsin(theta).
In this video we'll learn to convert back and forth between rectangular (Cartesian) coordinates and polar coordinates. Rectangular coordinates are given as (x,y), where x is the horizontal distance from the origin and y is the vertical distance from the origin. But polar coordinates are given as (r,theta), where r is the distance from the origin (the length of the straight line segment connecting the origin to the given point), and where theta is the angle between the positive direction of the horizontal axis and the given point. Show Less
In this video we'll find the distance between two points in polar coordinate space. To do this, we'll convert the distance formula from rectangular coordinates to polar coordinates, and then plug our polar coordinate points into this converted distance formula. Show Less
In this video we'll introduce the set of steps we'll use to sketch polar curves. The method we'll work with involves sketching the curve on a rectangular set of axes, and then translating that sketch from rectangular axes to polar axes.