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I solved my problem into parametric equations as shown below:

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

But I meet difficult on how to convert into a normal one. So my problem may be described as: is there any function will help solve

x == cos(theta), y == sin(theta)

into

x ^ 2 + y ^ 2 == 1

Thanks.

I solved my problem into parametric equations as shown below:

But I meet difficult on how to convert into a normal one. So my problem may be described as: one, I want to get an equation with x, y only. For another general description: is there any function will help solve

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.