Convert each of the following pairs of parametric equations to rectangular form.

1. $x =\operatorname{ sin}^2 t$ and $y = \sqrt [ 3 ] { \operatorname { sin } t }$

   Hint (a):

   $(\sin^{1/3}(t))^6=\sin^2(t)$

2. $x = t^{12}$ and $y = t^4$

   Hint (b):

   $(t^4)^3=t^{12}$