Converting from polar and rectangular equations

Convert the polar equation to rectangular form.
 $r=4\cos\theta-2\sin\theta$ 

•  $\left(x+2\right)^2+y^2=4$ 

•  $\left(x-2\right)^2+\left(y-1\right)^2=5$ 

•  $\left(x-2\right)^2+\left(y+1\right)^2=5$ 

•  $\left(x-1\right)^2+y^2=1$ 

Tags

CCSS.HSN.CN.B.4

Convert the polar equation to rectangular form.
 $r=-4\sin\theta$ 

•  $\left(x-2\right)^2+\left(y-1\right)^2=5$ 

•  $\left(x-1\right)^2+\left(y-3\right)^2=10$ 

•  $\left(x+1\right)^2+\left(y-2\right)^2=5$ 

•  $x^2+\left(y+2\right)^2=4$ 

Tags

CCSS.HSN.CN.B.4

Convert the polar equation to rectangular form.
 $\cot\theta=5$ 

•  $y=\frac{x}{5}$ 

•  $y=x\sqrt{3}$ 

•  $y=x$ 

•  $y=5x$ 

Tags

CCSS.HSN.CN.B.4

Convert the polar equation to rectangular form.
 $r=2\tan\theta\sec\theta$ 

•  $y=\frac{x^2}{2}$ 

•  $x=y^2$ 

•  $y=\frac{x^2}{4}$ 

•  $x=\frac{y^2}{4}4$ 

Tags

CCSS.HSN.CN.B.4

Convert the rectangular equation to polar form.
 $x^2+\left(y-2\right)^2=4$ 

•  $r=4\sin\theta$ 

•  $r=6\sin\theta$ 

•  $r=-2\cos\theta+4\sin\theta$ 

•  $r=-4\cos\theta-2\sin\theta$ 

Tags

CCSS.HSN.CN.B.4

Covert the rectangular equation to polar form  $x^2+y^2=9$  

• r² = 81

• r = 3

• r = 4.5

• r sin θ = 9

Tags

CCSS.HSN.CN.B.4

Covert the rectangular equation to polar form  $y=x^2$  

• r = cot θ csc θ

• r = tan θ csc θ

• r = tan θ sec θ

• r = 0

Tags

CCSS.HSN.CN.B.4

Covert the rectangular equation to polar form  $x=4$  

• r sin θ = 4

• r = 4 csc θ

• r = sec θ ∕ 4

• r = 4 sec θ

Tags

CCSS.HSN.CN.B.4