Polar Coordinates Plotting

In the video example from 10.2, what is the same as r = 2tanθsecθ?

• y = ½x²

• y = x²

• y = ¾x²

• y = ⅓x²

10.1-10.2 A point P on the polar coordinate system is given in the form (r, θ).  What does the θ stand for?

• Radias

• Angle

• Ray

10.1-10.2 Converting between rectangular and polar coordinates:
x = ?

• rcosθ

• rsinθ

• x² + y²

• y/x, x ≠ 0

What is the first step in plotting a point using polar coordinates?

• Plot the point directly on the grid.

• Identify the polar axis.

• Determine the radius from the pole.

• Measure the angle in radians from the polar axis.

Which equation represents the conversion from rectangular coordinates to polar coordinates for the radius r?

• r = tan(y/x)

• r = x + y

• r = x^2 + y^2

• r = sqrt(x^2 + y^2)

Which of the following is a correct representation of a point with a negative radius in polar coordinates?

• Plot the point in the opposite direction of the angle.

• Keep the radius positive and double the angle.

• Halve the angle and double the radius.

• Double the radius and keep the angle same.

What does the polar equation r = 2 sec(θ) represent in Cartesian coordinates?

• y = 2

• x = 4

• y = 4

• x = 2

How is a circle with radius 3 represented in polar coordinates?

• r = 6

• r = 9

• r^2 = 9

• r = 3

How do you convert polar coordinates (r, θ) to rectangular coordinates (x, y)?

• x = r sec(θ), y = r csc(θ)

• x = r sin(θ), y = r cos(θ)

• x = r cos(θ), y = r sin(θ)

• x = r tan(θ), y = r cot(θ)

What is the polar form of the Cartesian equation x^2 + y^2 = 9?

• r = sqrt(9)

• r = 6

• r = 9

• r = 3