Find parametric equations of the curve given by the intersection of the surfaces: the cylinder: x² y²=1 the plane: z=5 .
a) x = cos(t), y = sin(t), z = 5
b) x = sec(t), y = tan(t), z = 5
c) x = cos(t), y = cos(t), z = 5
d) x = sin(t), y = cos(t), z = 5