The curves in a, b, and c are all parametrizations of the same circle. Discuss what is

C

Cathy

New member
different about...? The curves in a, b, and c are all parametrizations of the same circle. Discuss what is different about each of these three parameterizations-- what is the speed, the starting and ending points, and the orientation(direction) of each?
a) c_1(t) = (2sint, 2cost), t?[0,2pi]
b) c_2(t) = (2cost,2sint) t?[0,2pi]
c) c_3(t) = (2sin(3t), 2cos(3t)), t?[0,2pi]
 
Back
Top