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2017-10-05 10:20:34 -0500 commented question convert parametric equations to a normal one

I have edited my question, hope it is clearer now. I mean "normal" to be something like a Conic Curve equation like ellipse is x^2/a^2 + y^2/b^2 = 1

2017-10-05 10:08:42 -0500 received badge  Editor (source)
2017-10-04 11:53:29 -0500 received badge  Student (source)
2017-10-04 11:48:52 -0500 asked a question convert parametric equations to a normal one

I solved my problem into parametric equations as shown below:

x == 3/4*sqrt(2*m^2 + 2)*m/(m^2 + 1), y == 1/4*sqrt(2*m^2 + 2)/(m^2 + 1)

But I meet difficult on how to convert into a normal one, I want to get an equation with x, y only. For another general description: is there any function will help solve parametric equations into a normal one like solve: x == cos(theta), y == sin(theta) into x ^ 2 + y ^ 2 == 1. I learned how to solve it with my pen, but I want a solution with Sage code.

Thanks.