Final answer:
The count for the tangent graph is odd, and for the cotangent, it is even.
Step-by-step explanation:
In Mathematics, the tangent (tan) and cotangent (cotan) functions are part of trigonometry and are represented by their respective graphs. The count of the tangent graph is odd, while the count of the cotangent graph is even.
The tangent graph has an odd count because it repeats itself every pi radians or 180 degrees. This means that for every complete cycle, the graph has one peak and one trough.
On the other hand, the cotangent graph has an even count because it repeats itself every pi radians or 180 degrees. This means that for every complete cycle, the graph has two peaks and two troughs.