Parametric Equations of Conic Sections

Write in rectangular form.

x = 7cos θ

y = 4sin θ

• 4y + 7x = 1

Tags

CCSS.HSG.GPE.A.3

Write the rectangular equation for the following parametric equations.

x = 4cosθ

y = 3sinθ^

What is the center and radius of the curve:

x= 1+3cost

y= -2+3sint

• (-1,2) , r=3
• (-1,2) ,  r=9
• (1,-2) ,  r=3
• (1,-2) ,  r=9

Tags

CCSS.HSG.GPE.A.1

What curve do the parametric equations make? What is the direction of motion? x= 1+3cost

y= -2+4sint

• Circle. Counterclockwise.
• Circle. Clockwise.
• Ellipse. Counterclockwise.
• Ellipse. Clockwise.

Tags

CCSS.HSG.GPE.A.3

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.2

Write in rectangular form.

x = 4cos θ

y = 4sin θ

• x + y = 16

Tags

CCSS.HSG.GPE.A.1

What is the center and radius of the curve:

x= -1 + 9cost

y= 2 + 9sint

• (-1,2) , r=3
• (-1,2) ,  r=9
• (1,-2) ,  r=3
• (1,-2) ,  r=9

Tags

CCSS.HSG.GPE.A.1

What curve do the parametric equations make? What is the direction of motion? x= 3sint

y= 4cost

• Circle. Counterclockwise.
• Circle. Clockwise.
• Ellipse. Counterclockwise.
• Ellipse. Clockwise.

Tags

CCSS.HSG.GPE.A.3

Write in rectangular form.

x = 4tan θ

y = 2sec θ

Write in rectangular form and idenitify the conic section.

x = 3sec θ - 2

y = 2tan θ + 3

Tags

CCSS.HSG.GPE.A.3