Hi, thanks for all the help recently you guys are awesome!!!

I have another question. We have to investigate the general form of the Lissajous curves given by: 𝑥 = 𝐴cos(𝑎𝑡 + 𝑐), 𝑦 = 𝐵sin( 𝑏𝑡 + 𝑑), 0 ≤ 𝑡 ≤ 2𝜋.

The question that we have to answer is, what effect do each element on the Lissajous curve have on the curve. What I mean is how changing values of A, B, a, b, c, and d have on the curve. These are all the elements in the general form. We have to use graphing technology (Desmos) to see what effect it has and give justification and evidence for each of the elements. For what I know is that changing A, changes the ellipticity of the curve along the x-axis and changing B, changes the ellipticity of the curve along the y-axis.