Find Parametric Equations for the Tangent Line to the Curve $$x = \cos t , y = 2 e ^ { 6 t } , z = 2 e ^ { - 6 t } ; ( 1,2,2 )$$

Multiple Choice

Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. Select the correct answer.
$$x = \cos t , y = 2 e ^ { 6 t } , z = 2 e ^ { - 6 t } ; ( 1,2,2 )$$

A) $x = t , y = 2 - 24 t , z = 2 + 24 t$
B) $x = 1 , y = 2 - 24 t , z = 4 - 24 t$
C) $x = 1 , y = 2 + 12 t , z = 2 - 12 t$
D) $x = 0 , y = 2 - 24 t , z = 2 + 24 t$
E) $x = t , y = 2 + 12 t , z = 2 - 12 t$