Eliminating the parameter from the parametric equations $x=h+$asect and $y=k+$btant gives the equation $\frac{(x-h{)}^2}{a^2}-\frac{(y-k{)}^2}{b^2}=1,$ which $is$ a hyperbola. Find a set $of$ parametric equations for a hyperbola with

vertices $at(0,24)$ and $(0,-24)$ and foci $at(0,25)$ and $(0,-25).$

$x=$

$,y=$

$(Simplify$ your answers.$)$