Sketch the graph of the polar equation. (Find a corresponding x-y equation if it helps.)

Question

Quizplus · Accepted Answer

The polar equation r = 2 + cos(θ) describes a cardioid with its cusp at (3,0). By using the conversion formulas x = rcos(θ) and y = rsin(θ), we can find the corresponding rectangular equation: (x-3)^2 + y^2 = 4cos(θ)^2. This is the equation of a circle centered at (3,0) with radius 2|cos(θ)|. Choice C matches this description.

Sketch the Graph of the Polar Equation