Using Following Result Find a Set of Parametric Equation of Conic

Multiple Choice

Using following result find a set of parametric equation of conic. ​
Hyperbola: $x = h + a \sec \theta , y = k + b \tan \theta$ ​
Hyperbola: vertices: $( \pm 4,0 )$ ;foci: $( \pm 5,0 )$ ​

A) $x = 5 + 4 \sec \theta , y = 5 + 3 \tan \theta$
B) $x = 4 \sec \theta , y = 3 \tan \theta$
C) $x = 5 - 4 \sec \theta , y = 3 \tan \theta$
D) $x = 3 \sec \theta , y = 4 \tan \theta$
E) $$x = 5 \sec \theta , y = 4 \tan \theta$$