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## Homework Statement

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.

## Homework Equations

I don't think there aren't really any equations relevant for this maybe except the unit circle..?

## 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?