Polar Graphs Exploration
Explore and analyze polar equations and their corresponding graphs in this Grade 11 mathematics worksheet.
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Polar Graphs Exploration
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Date:
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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
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