Key Polar Graphs Cardioid

r=a±bcos(θ) a=b: 2a?

r=a±bcos(θ) a=b: 2a?

2a: distance from pole on polar axis (a+b, 0°) & (a-b, 180°) OR = (2a, 0°) & (0, 180°)

What type of graph is shown?

Cardioid

r=a±bcos(θ) a=b: + ?

majority over + polar axis

r=a±bcos(θ) a=b: - ?

majority over - polar axis

r=a±bcos(θ) a=b: a ?

distance from pole on y-axis (a, 90°) & (a,270°)

r=a±bsin(θ) a=b

2a: distance from pole on y-axis (a+b, 90°) & (a-b, 270°) OR = (2a, 90°) & (0, 270°)

r=a±bsin(θ) a=b: + ?

majority over + y-axis

r=a±bsin(θ) a=b: - ?

majority over - y-axis

r=a±bsin(θ) a=b: a ?

distance from pole on polar axis (a, 0°) & (a, 180°)

What is the difference between the General Limacon, Limacon with an Inner Loop, and Cardioid?

General Limacon: a>b; Limacon with inner Loop: a<b; Cardioid:a=b