- (B) Since x − 3 = 2 sin t and y + 1 = 2 cos t,
(x − 3)^2 + (y + 1)^2 = 4.
This is the equation of a circle with center at (3,−1) and radius 2. In the domain given, −π ≤
t ≤ π, the entire circle is traced by a particle moving counterclockwise, starting from and
returning to (3, −3).