identifying polar graphs

identifying polar graphs

Assessment

Flashcard

Mathematics

9th - 12th Grade

Hard

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a polar graph?

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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