Polar Flashcard Review(no limacons)

Front

Convert the polar coordinates (6, \frac{2\pi}{3}) to rectangular form.

Back

(-3, 3\sqrt{3})

Front

What is the polar equation that represents a circle with a radius of 6?

Back

r = 6

Front

What does the polar equation r = sin 4θ represent?

Back

A rose curve with 4 leaves.

Front

What does the polar equation r = 6 sin 2θ represent?

Back

A rose curve with 6 leaves.

Front

What does the polar equation r = 6 cos 2θ represent?

Back

A rose curve with 6 leaves.

Front

What is the shape of the curve represented by the polar equation r = 6 sin θ?

Back

A circle with a radius of 3.

Front

What is a cardioid in polar coordinates?

Back

A heart-shaped curve represented by r = a + b sin(θ) or r = a + b cos(θ) where a = b.

Front

What is the polar coordinate representation of the point (-4, -\frac{2\pi}{3})?

Back

A.

Front

How do you convert polar coordinates to rectangular coordinates?

Back

Use the formulas x = r cos(θ) and y = r sin(θ).

Front

What is the general form of a rose curve in polar coordinates?

Back

r = a sin(nθ) or r = a cos(nθ), where n determines the number of leaves.