Pre-Calculus: 29-3 Polar Curves

Label the equation r = 3 - 4 cos θ.

• Rose

• Limacon

• Cardioid

• Circle

Label the equation r = -5 sin θ.

• Limacon

• Rose

• Cardioid

• Circle

Label the equation r = 2 + 3 sin θ.

• Cardioid

• Rose

• Limacon

• Circle

Tags

CCSS.HSF-IF.C.7D

Label the equation r = 3 - 3 cos θ.

• Cardioid

• Rose

• Limacon

• Circle

Label the equation r = 7 - 7 sin θ.

• Circle

• Rose

• Limacon

• Cardioid

Tags

CCSS.HSF-IF.C.7D

Label the equation r = 2 cos 2θ.

• Rose

• Cardioid

• Limacon

• Circle

Tags

CCSS.HSF-IF.C.7D

Describe the details of the rose curve for 4 sin 3θ.

• Length of petals: 4, Number of petals: 3

• Length of petals: 3, Number of petals: 4

• Length of petals: 4, Number of petals: 6

• Length of petals: 6, Number of petals: 4

Describe the details of the rose curve for 2 cos 6θ.

• Length of petals: 2, Number of petals: 12

• Length of petals: 3, Number of petals: 6

• Length of petals: 1, Number of petals: 12

• Length of petals: 2, Number of petals: 6

Describe the characteristics of the limacon 4 - 1.5 sin θ. Select all that apply.

• VERTICAL

• Shape: INNER LOOP

• Direction: Downward

• Direction: Upward

Describe the details of the rose curve for 3 sin 4θ.

• Length of petals: 3, Number of petals: 8

• Length of petals: 4, Number of petals: 3

• Length of petals: 3, Number of petals: 4

• Length of petals: 4, Number of petals: 8