Polar Lesson
Polar coordinates
Polar coordinates can be represented by (r, θ), where r is a distance from the Pole and θ is the angle a line segment from the pole to the point makes with the Polar Axis.
The point (r, θ) is known as the Polar Coordinate. This can be similar to (x, y) when correlating rectangular coordinates.
Therefore, the relation between polar coordinates (r,θ) and Cartesian coordinates (x, y) is given by:
x = rcosθ and y = rsinθ
The equation of a horizontal line is of the form y=c, where c is y-intercept, a constant.
Thus, in the polar coordinates equation would be as stated:
rsinθ =c and r=c cscθ
x2 +y2 = r2
r = √ x2 +y2