Looking at a Function

I was asked to explain the below function,
which seems difficult. The visual we have is a
sketch i.e., an artistic expression. I will look at
the initial function, and its representation on
Graph, my free download utility for Windows 10.

A negative exponent corresponds to an inversion (1/x) on
the same expression with the exponent as a positive. As
t increases, the denominator will become larger, and thus
the expression as a whole will lessen.

Increasing the angle values does not change the shape of the figure,
but using different angle measures on sin and cos creates convolutions.
Here, it is 2t on both angles but in a 5:4 ratio. The function is a spiral
toward 0 at infinity.