Convert the given points from cartesian coordinates to polar coordinates.

Question

a. (3,1)

b. (0,2)

Answer 1

a) the radius of sqrt(3² + 1²) = sqrt(10)

The angle is Tan^-1 (1/3) = 18.435 degrees

b) By inspection, the radius is 2

By inspection, the angle is 90 degrees (line up on the y axis)

In each case x = rcos(ø), y = rsin(ø)