Hi
I want to find a parameterization for the circle with radius 5 and center (-1,3)
I do:
X= 5cost-1
Y= 5sint+3 0<t<2π.
I want the circumference to be traversed clockwise, so I change it to
G(t)= x= 5sin(2π-t)-1
Y= 5cos(2π-t)+3. Same Interval
Now my question is how I show that this new parameterizatión are the same that other.
I Try but I don't know how continúe.
I Say
G(t)= r(2π-t) luego
Xg(t)=5cos(2π-t)-1
Yg(t)=5sin(2π-t)+3
Yg(t)-3/5=sint
T=sin^-1 (yg(t)-3/5)
I don't know yo finish