A hypocycloid is a shape generated by tracking a fixed point on a small circle as it rolls around the inside of a larger circle. Suppose that the smaller circle has radius 3 and the larger circle has radius 10. Find parametric equations for the position of the point $P$ as the smaller circle rolls in the direction indicated, where $t$ gives the angle from the center of the larger circle to the center of the smaller circle.
$x(t) =$
$y(t) =$

Hint: