Let a > 0. Does the curve parameterised by r(t)=(asin(t)cos(2t),asin(t)sin(2t),acos(t)), t E R, lie on a sphere in R3 with its centre at the origin? If so, find the radius of the sphere.
Attempt:
x2+y2+z2=r2
a2sin2(t)cos2(2t)+a2sin2(t)sin2(2t)+a2cos2(t)=r2
I am not sure what else to do
Attempt:
x2+y2+z2=r2
a2sin2(t)cos2(2t)+a2sin2(t)sin2(2t)+a2cos2(t)=r2
I am not sure what else to do