Chapter 9 Polar Coordinates

Question 1

What are the principal polar coordinates?

Answer 1

The principal polar coordinates (r, θ) are those for which r > 0 and and
-π< θ ≤π.

Question 2

How do you convert from Cartesian coordinates to polar coordinates?

Answer 2

To convert from Cartesian coordinates to polar coordinates, use r = √(x² + y²) and θ = arctan(y/x).

±π if necessary

Question 3

How do you convert from polar coordinates to Cartesian coordinates?

Answer 3

To convert from polar coordinates to Cartesian coordinates, use x = r cos(θ) and y = r sin(θ).