1. The problem statement, all variables and given/known data Show that x=sin(t),y=cos(t),z=sin^2 (t) is the curve of intersection of the surfaces z=x^2 and x^2+y^2=1. 2. Relevant equations I don't think there aren't really any equations relevant for this maybe except the unit circle..? 3. The attempt at a solution I don't know how to equate both equation, I remember one problem very vaguely where we replaced the x^2 variable with s but I doubt this is what I have to do. Any insights on how to start this problem?