9.1 Polar Coordinates

Front

Convert the polar coordinate (6, 120°) to rectangular form.

Back

(-3, 3√3)

Front

What is the coordinate for point E?

Back

(−6, 330°)

Front

How do you write polar coordinates as an ordered pair?

Back

(r, θ)

Front

What is the radius to the rectangular point (5, 2)?

Back

√29

Front

True or False: Polar Coordinates are unique?

Back

False

Front

What is the formula to convert polar coordinates (r, θ) to rectangular coordinates (x, y)?

Back

x = r * cos(θ), y = r * sin(θ)

Front

What is the polar coordinate for the point (0, 0)?

Back

(0, θ) for any θ.

Front

What is the angle in radians for 180°?

Back

π radians

Front

What is the relationship between polar coordinates and the unit circle?

Back

Polar coordinates represent points based on their distance from the origin and angle from the positive x-axis.

Front

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

Back

r = √(x² + y²), θ = tan⁻¹(y/x) (adjust for quadrant).