Can someone please explain to me why cotangent graphs look the way they do? I want to know why they basically look like mirror reflected tangent graphs. I get that if $\tan\theta=y/x$, then $\cot\theta=x/y$. But why would this lead to a graph that looks like a tangent graph that was reflected over?
Can you please try to keep the answers at the level of a high school pre-calc student?