I have two vectors $a$ and $b$ and want to perform a parametric plot that generates an ellipse out of it. Normally you would do that for:
$t \mapsto \cos(t) \cdot a + \sin(t) \cdot b$
But when I look up parametric plot, I only find examples like:
$\sin(t), \cos(t)$
or
$t \cdot \sin(t), 5 \cdot \cos(t)$
These plots are defined through commas, one value for $x$ and one for $y$. But how do I know map the definition above to this comma notation?