Parametric curve (x(t),y(t)) has a horizontal tangent if its slope `dy/dx` is zero, i.e when `dy/dt=0` and `dx/dt!=0`
Curve has a vertical tangent line, if its slope approaches infinity i.e `dx/dt=0`
Given parametric equations are:
For Horizontal tangents,
Corresponding points on the curve can be found by plugging in the values of t in the equations,
Horizontal tangents are at the points (5,-2) and (3,2)
For vertical tangents,
So the curve has no vertical tangents.