Parametrization of the Circle
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The most common parametrization of the circle is
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Though, this is not rational (sin(t) and cos(t) cannot be expressed as a quotient of two polynomials). Find a rational parametrization. I.e. one with
[unparseable or potentially dangerous latex formula]
where [unparseable or potentially dangerous latex formula] are all polynomials.
[unparseable or potentially dangerous latex formula]
Though, this is not rational (sin(t) and cos(t) cannot be expressed as a quotient of two polynomials). Find a rational parametrization. I.e. one with
[unparseable or potentially dangerous latex formula]
where [unparseable or potentially dangerous latex formula] are all polynomials.