Convert Equations between Rectangular and Polar 1

What is the rectangular equation of r=6cosƟ

• (x-3)²+y²=9

• (x+3)²+y²=9

• (x-3)²+y²=3

• (x+3)²+y²=3

Tags

CCSS.HSG.GPE.A.1

What is the rectangular equation of r=8sinƟ

• x²+(y+4)²=4

• x²+(y-4)²=4

• x²+(y-4)²=16

• x²+(y+4)²=16

What is the rectangular equation of r=16

• x²+y+²=4

• x²+(y-4)²=16

• (x-4)²+(y-4)²=16

• x²+y²=256

What is the rectangular equation of r=8cscƟ

• x=8

• y=8

• x=-8

• y=-8

At what rectangular point the equations r=AsecƟ and r=BcscƟ intersect? A and B are not zero. Select all that apply

• they do not intersect

• they make the same graph so they intersect everywhere

• (A,B)

• (B,A)

What rectangular equation is needed to obtain the same graph as r=cos3Ɵ

• 
• 
• 
• It is not possible to create a graph like that in rectangular

Which is the equation of r=Acosθ+Bsinθ

• (x-A)²+(y-B)²=(A+B)²

• (x-½A)²+(y-½B)²=(½A)²+(½B)²

• (x-½B)²+(y-½A)²=(½A)²+(½B)²

• (x-B)²+(y-A)²=(A+B)²

Which is the equation of r=2/(1+cosθ)

• y²=-4(x-1)

• x²=-4(y-1)

• y²=4(x+1)

• x²=4(y+1)

Tags

CCSS.HSG.GPE.A.3

Convert the rectangular equation x=y² to polar:

• r= cotθcscθ

• r=tanθsecθ

• r=1/(1+cosθ)

• The answer is not here

Convert the rectangular equation x²+y² =4 to polar:

• r= 2

• r=2/(cosθ+sinθ)

• r=4

• r=4/(cosθ+sinθ)