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Special Polar Graphs: Limacons

The equation r = a + b cos cos θ represents a limacon. If a/b ≥ 2, what would be shape of limacon?

Is the sentence true of false?

The figure represents the graph of r = 1+ cos cos θ

 Is the sentence true of false?

The figure represents the graph of r = 1 +  sin sin θ

 Is the sentence true of false?

The figure represents the graph of r = 2 + 3 sin sin θ

What does following figure represents?



 The equation r = a + b cos cos θ represents a limacon. If 1 < a/b < 2, what would be shape of limacon?

The equation r = a + b cos cos θ represents a limacon. If a/b < 1, what would be shape of limacon?

Which one of the following equations represents a limicon?

Is the sentence true of false?

The figure represents the graph of r = 2 + 4 cos cos θ

The equation r = a + b cos cos θ represents a limacon. If a/b = 1, what would be shape of limacon?