Converting between Polar and Rectangular Coordinates (8.7.2)

Question 1

• To convert from polar coordinates to rectangular coordinates, use the following: x = r cos θ, y = r sin θ.

Answer 1

• To convert from polar coordinates to rectangular coordinates, use the following: x = r cos θ, y = r sin θ.

Question 2

• To convert from rectangular coordinates to polar coordinates, use the following formula: r=sqrt(x^2 + y^2), θ = arctan(y/x).

Answer 2

• To convert from rectangular coordinates to polar coordinates, use the following formula: r=sqrt(x^2 + y^2), θ = arctan(y/x).