Polar Coordinates and Graphs

Find the distance between two points  $\left(-2,\frac{\pi}{3}\right),\left(3,\frac{2\pi}{3}\right)$  

• 4.36

• 4.84

• 2.65

• 1.61

Tags

CCSS.HSG.GPE.B.7

Three of the following coordinates represent the same point. Which one represents a DIFFERENT point from the others?

• $\left(4,\frac{\pi}{3}\right)$

• $\left(4,-\frac{5\pi}{3}\right)$

• $\left(-4,\frac{5\pi}{3}\right)$

• $\left(-4,-\frac{2\pi}{3}\right)$

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8

Choose the correct graph of the polar point  $\left(2,\frac{\pi}{4}\right)$  .

• 
• 
• 
• 

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSG.C.B.5

Graph the point on the polar grid  $\left(-2,\frac{3\pi}{2}\right)$  

• 
• 
• 
• Don't choose this one!

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

CCSS.HSG.C.B.5

Convert from polar coordinates to rectangular coordinates:  $\left(3,-\frac{\pi}{6}\right)$  

• (-1.5, 2.60)

• (2.60, -1.5)

• (- 2.60, 1.5)

• (1.5, - 2.60)

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSN.CN.B.4

Convert from rectangular coordinates to polar coordinates:  $\left(-2,7\right)$  

•  $\left(3\sqrt{5},1.85\right)$  

•  $\left(3\sqrt{5},4.99\right)$  

•  $\left(\sqrt{53},1.85\right)$  

•  $\left(\sqrt{53},-1.29\right)$  

Tags

CCSS.HSF.TF.C.8

CCSS.HSN.CN.B.4

Convert to a polar equation  $3x+7y=9$  

•  $r=\frac{9}{\cos3\theta+\sin7\theta}$  

•  $r=\frac{9}{7\cos\theta+3\sin\theta}$  

•  $r=\frac{9}{3\cos\theta+7\sin\theta}$  

•  $r=\frac{9}{7\cos3\theta+3\sin7\theta}$  

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Convert to a polar equation  $y^2-4x=0$  

•  $r=4\cos\theta\sin^2\theta$  

•  $r=4\cot\theta\csc\theta$  

•  $r=4\sin\theta\cos^2\theta$  

•  $r=4\cot\theta\sec\theta$  

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Convert to a rectangular equation:  $r=5$  

•  $x+y=25$  

•  $x^2+y^2=25$  

•  $x^2+y^2=5$  

•  $x+y=5$  

Tags

CCSS.HSG.GPE.A.1

Convert to a rectangular equation: $r=12\csc\theta$  

•  $x+y=12$  

•  $x=12$  

•  $y=12$  

•  $x^2+y^2=144$  

Tags

CCSS.HSA.CED.A.2