Pretzel Curve

The following parametric equations represent the reflection of the parabola $y=x^2$ over a circle, with radius $a$ , centered at the parabola's focus:

$(x,y)=$

$\left(\frac{\left(f\left(t\right)\pm g\left(t\right)\right)}{2}+\frac{2h\left(t\right)\left(\frac{1}{4}+ai\left(t\right)+aj\left(t\right)h\left(t\right)-h\left(t\right)\left(\frac{\left(f\left(t\right)\pm g\left(t\right)\right)}{2}\right)-\left(\frac{\left(f\left(t\right)\pm g\left(t\right)\right)}{2}\right)^{2}\right)}{k\left(t\right)^2},\left(\frac{\left(f\left(t\right)\pm g\left(t\right)\right)}{2}\right)^{2}+\frac{2\left(\frac{1}{4}+ai\left(t\right)+aj\left(t\right)h\left(t\right)-h\left(t\right)\left(\frac{\left(f\left(t\right)\pm g\left(t\right)\right)}{2}\right)-\left(\frac{\left(f\left(t\right)\pm g\left(t\right)\right)}{2}\right)^{2}\right)}{k\left(t\right)^{2}}\right)$

The functions $f(t),g(t),h(t),i(t),j(t),k(t)$ are the six trigonometric functions. Which of the following is the correct choice for these functions?