PC Ch6 Polar and Parametric Review

Front

What is the relationship between polar and rectangular coordinates?

Back

Polar coordinates (r, θ) can be converted to rectangular coordinates (x, y) using the formulas: x = r * cos(θ) and y = r * sin(θ).

Front

Back

Front

What are the polar coordinates of the point (2, -2)?

Back

Front

Identify the polar coordinate representation of the point (-4, -2π/3).

Back

The point is represented as A.

Front

What is the polar equation of a horizontal line at y = 8?

Back

Front

Back

It represents a lemniscate.

Front

How do you convert from rectangular to polar coordinates?

Back

Use the formulas: r = √(x^2 + y^2) and θ = arctan(y/x).

Front

What is the significance of the angle θ in polar coordinates?

Back

The angle θ represents the direction of the point from the origin, measured counterclockwise from the positive x-axis.

Front

What does the radius r indicate in polar coordinates?

Back

The radius r indicates the distance from the origin to the point.

Front

Convert the polar coordinate (3, π/4) to rectangular coordinates.

Back

The rectangular coordinates are (3√2/2, 3√2/2).