Polar Graphs Exploration

Explore and analyze polar equations and their corresponding graphs in this Grade 11 mathematics worksheet.

Grade 11 Math GeometryPolar Graphs

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Includes

Multiple ChoiceFill in the BlanksShort AnswerCustomTrue / False

Standards

CCSS.MATH.CONTENT.HSG.CO.A.5CCSS.MATH.CONTENT.HSG.SRT.A.1

Topics

polar graphsprecalculusmathematicsgrade 11

7 sections · Free to use · Printable

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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.

1. Which of the following polar equations represents a circle centered at the origin?

r = 4cosθ

r = 4sinθ

r = 4

r = 4 + 2cosθ

2. The graph of the polar equation r = a ± bcosθ or r = a ± bsinθ is called a .

3. If a polar equation contains a sine function, its graph is symmetric with respect to the .

4. Convert the polar equation r = 6cosθ to its rectangular form. Show your steps.

5. Sketch the graph of the polar equation r = 2 + 2sinθ on the coordinate plane below.

6. The polar equation r = 3θ represents a spiral.

True

False