Relationship between a tangent graph and a cubic graph

Question

I noticed how tangent and cubic functions both produce cubic graphs. What exactly is the relationship between them?

Answer 1

If you sketch the graph by hand, both the graphs appear to be same. But, here's the actual graph. Note that, $\tan x$ has vertical asymptotes at $x=\pm π/2$ and rapidly increases after $x=π/4$. Also, see the curvature of both the graphs, they are different.