Posted by Soren on .
Eliminate the parameter in the pair of parametric equations to find the corresponding rectangular question.
x=h+ asecQ
y=k+ tanQ

Math 
Steve,
secθ = (xh)/a
tanθ = (yk)
since sec^2 θ = 1+tan^2 θ
(xh)^2/a^2 = 1+(yk)^2
or,
(xh)^2/a^2  (yk)^2 = 1
which is a horizontal hyperbola centered at (h,k).