Function: y= cot (x)
Graph two: y= cot( x), y= tan(x)
- One cycle occurs between 0 and (pi).
- There are vertical asymptotes at each end of the cycle. The asymptote that occurs at (pi) repeats every (pi) units.
- Amplitude: none, graphs go on forever in vertical directions
- The x-intercepts of the graph of y = tan(x) are the asymptotes of the graph of y = cot(x).
- The asymptotes of the graph of y = tan(x) are the x-intercepts of the graph of y = cot(x).
- The graphs of y = tan(x) and y = cot(x) have the same x-values for y-values of 1 and -1.
Note: The graphs of y = tan(x) and y = cot(x) "face" in opposite directions.
Graph two: y= cot( x), y= tan(x)