The Rectangular Equation of the Plane Curve, with Parametric Equations $x ( t ) = \tan t , y ( t ) = \sec ^ { 2 } t,$

Multiple Choice

The rectangular equation of the plane curve, with parametric equations $x ( t ) = \tan t , y ( t ) = \sec ^ { 2 } t,$ is

A) $y = \sqrt { x }$
B) $y = x ^ { 2 } - 1$
C) $y = x ^ { 2 } + 1$
D) $y = \sqrt { x ^ { 2 } + 1 }$
E) $y = \sqrt { x ^ { 2 } - 1 }$