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What is the name of the shape graphed by the function r = 2 - costheta

What is the name of the shape graphed by the function r = 2 - costheta-example-1
User Tomaoq
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2 Answers

2 votes

Answer:

It's a limacon

Explanation:

User Jarekczek
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5 votes

Answer:

limaçon (no inner loop)

Explanation:

The equation of a limaçon is written generically as ...

r = b + a·cos(θ)

For b=2 and a=1, this would put the flat side on the left. Rotating it 180° can be accomplished by adding or subtracting π from θ. Then the equation can be ...

r = 2 + cos(θ-π) . . . . or ...

r = 2 - cos(θ)

What is the name of the shape graphed by the function r = 2 - costheta-example-1
User Freya Ren
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