What curve do the parametric equations trace out? Find the equation for the curve.

$x=4cost$

$y=4-sint$

The curve is the circle with equation $(x4{)}^2(y-4{)}^2=1.$

The curve is the circle with equation $(x-4{)}^2(y4{)}^2=1.$

The curve is the circle with equation $x^2{y}^2=16.$

The curve is the hyperbola with equation $x^2-y^2=16.$

The curve is the circle with equation $(x-4{)}^2(y-4{)}^2=1.$