Chapter 13 Polar Coordinates

Which point represents (3, 3π/4)?

• F
• E
• B
• A

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

Which point represents (-4, 4π/3)

• F
• E
• B
• A

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSG.C.B.5

Convert the rectangular coordinates to polar coordinates
(6√3, 6)

• (12, π/6)
• (6, 7π/6)
• (6, π/6)
• (12, 7π/6)

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSG.C.B.5

CCSS.HSN.CN.B.4

Convert the polar coordinates to rectangular form

• ( -3, 3)
• (3, 3√3)
• (-3, 3√3)
• (3, -3√3)

Tags

CCSS.HSF.TF.A.3

CCSS.HSN.CN.B.4

Convert the rectangular equation to polar form

• r² = 81
• r = 3
• r = 4.5
• r sin θ = 9

Tags

CCSS.HSN.CN.B.4

Convert the polar equation to rectangular form

• x² + y² = 49
• x = 7
• x + y = 49
• x² + y² = 7

Convert the polar equation to rectangular form

• x = 2 cos θ
• x = 2
• y = 2
• x² + y² = 2

Tags

CCSS.HSN.CN.B.4

Convert  $r=4\cos\theta$  to rectangular(Cartesian) form.

•  $r^2=4x$  

•  $\left(x-2\right)^2+y^2=4$  

•  $x^2+\left(y-2\right)^2=4$  

•  $x^2+y^2=4$  

Tags

CCSS.HSN.CN.B.4

Convert  $r=\frac{5}{2+3\cos\theta}$  to rectangular form.

•  $r^2=\frac{5r}{2+3\cos\theta}$  

•  $-5x^2-4y^2=25+30x$  

•  $-5x^2+30x+4y^2=25$  

•  $x^2+y^2=25$  

Tags

CCSS.HSN.CN.B.4

Give 2 other names for the same polar coordinates  $\left(-3,-60\degree\right)$  

•  $\left(3,\ 60\degree\right)\ and\ \left(-3,\ 240\degree\right)$  

•  $\left(3,\ 240\degree\right)\ and\ \left(-3,\ 60\degree\right)$  

•  $\left(3,\ 300\degree\right)\ and\ \left(-3,\ 120\degree\right)$  

•  $\left(3,\ 120\degree\right)\ and\ \left(-3,\ 300\degree\right)$  

Tags

CCSS.HSN.CN.B.4