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## Main Question or Discussion Point

So, I just learned in class that to get inverse cot

And I don't understand this. If x is cot, then when we do 1/x, shouldn't we get tan? And after than isn't it enough to just do tan

^{-1}(x) I have to do tan-^{1}(1/x). Then add either pi, or 180 depending on wheather we are using radians or degrees.And I don't understand this. If x is cot, then when we do 1/x, shouldn't we get tan? And after than isn't it enough to just do tan

^{-1}(1/x) to get the answer? What is the point of adding that pi or 180 degrees?