Question

greatest integer function help
[tanx]+[cotx]
where [ ] denotes the greatest integer function
please help me with the graph of this function

Answer 1

To start, both tan(x) and cot(x) have a period of 180 degrees, or from -90 to 90 degrees (when x are in degrees).
Individually they look like this:

The vertical lines are asymptotes, which means that the values of tan(x) is undefined at x=-90 and 90 degrees, while the value of cot(x) is undefined at 0 deg.