What is a polar graph?

identifying polar graphs

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A polar graph is a graph that represents points in a plane using a distance from a reference point (the pole) and an angle from a reference direction (the polar axis).
2.
FLASHCARD QUESTION
Front
What is the polar equation for a circle centered at the pole with radius r?
Back
The polar equation is r = k, where k is the radius of the circle.
3.
FLASHCARD QUESTION
Front
What does the equation r = a cos(θ) represent?
Back
It represents a circle centered on the polar axis with radius a/2.
4.
FLASHCARD QUESTION
Front
What does the equation r = a sin(θ) represent?
Back
It represents a circle centered on the line θ = π/2 with radius a/2.
5.
FLASHCARD QUESTION
Front
What is the general form of a rose curve in polar coordinates?
Back
The general form is r = a sin(nθ) or r = a cos(nθ), where n determines the number of petals.
6.
FLASHCARD QUESTION
Front
How do you determine the number of petals in a rose curve given by r = a sin(nθ)?
Back
If n is odd, the number of petals is n. If n is even, the number of petals is 2n.
7.
FLASHCARD QUESTION
Front
What is the polar equation for a line through the pole at an angle θ?
Back
The polar equation is θ = constant.
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