I seem to keep having trouble with parameterizations of circles, particularly thier direction i think,
for instance for the quarter circle that goes anticlockwise from (0,2) to (-2,0) can someone explain to me how the parameterization is,
c(t)= (-2sint , 2 cost)
0 <= t<= pi/2
I would have thought;
x= rcost, y=rsint
Therefore; c(t) = (2cost, 2sint)
where pi/2 <= t <= pi
Any explanation would be very helpful,
Cheers,


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