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

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