I have been asked a series of questions on the following curve
r(t) = (1+cost,2sint,0) where t varies from 0 to 2pi
part a) required me to find the orientation of the tangent vector point (pi/3)
I found the tangent vector r'(t)= (-sint,2cost,0) and substituted in (pi/3)
r'(pi/3)= -sqrt(3)/2 i + j
but part b) requires me to use a second parametric variable to define the tangent line to the point (pi/3).
I knwo this isnt to hard , but i dont quite understand what the question is asking. What do they mean define? have i not already defined it at this point? btw the answer given is q(s)=(1.5-sqrt(3)s/2, sqrt(3) + s ,0)
Any help understanding this would be appreciated