Cotangent Function

Cotangent function is a reciprocal for tangent function. If , then . Generally, cotangent function can be written as .

Now, consider only ,
as tan(x) approaches to 0, cot(x) approaches ∞ or -∞,
as tan(x) approaches ∞ or -∞, cot(x) approaches 0.

You may change the values of a = 1, b = 1, c = 0 and d = 0 and think about the construction of cot(x) from tan(x). After that, you may alter the values to look at the shifting, scaling or reflecting of the graphs.


Slide the values of a, b, c and d to observe the changes of the graph . What can you say about the effects of these values towards the function cot (x)?

Betty, Created with GeoGebra