x=Acos^3t , y= Asin^3t

where A is a positive constant and 0<t<0.5pie

1 express dy/dx in terms of t

2 show that equation of the tangent to the curve at the point with parameter t is

Xsint + ycost = Asint times cost

extra question based on this

hence show that, if tangent meets the x axis at X and the Y axis at Y then the length of XY is always equal to A