The Witch of Agnesi

Geometry Level pending

"The Witch of Agnesi" is a parametrically defined curve researched by Maria Agnesi in 1748.

What is the \(x(t)\) part of this parametric definition?

\( \hspace{20mm} x(t) = \ ?; \hspace{3mm} y(t) = 2\sin^2(t) \hspace{1mm};\hspace{3mm}\) for \(t = (0, \pi)\)

Details:

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