Can someone please help me with this problem. I'm not sure how to do it.

The problem:

Consider the curve x^2+xy+y^2=3

1. Show that a parametic representation of the above curve is:

------{x=cost - (3)^(1/2)sint

------{y=cost +(3)^(1/2)sint

2. Use this parametric representation to find the slope of the tangent to the curve at (1,1) (t=0).

So far I have this work:

For x --> x^2+xsint+sint^2=3

==> xsint+sint^2=3 - x^2

==> (sint)(x+sint)=3 - x^2

==> ?

For y ---> cost^2+ycost+y^2=3

==> ycost+cost^2=3 - y^2

==> (cost)(x+cost)=3 - y^2

==> ?

I don't know where to go from there and what to do. Can someone please help me?