Cosecant Transformations
This is a graph of and of . Try changing the sliders to see how g(x) transforms f(x).
Some facts about sin(x):
- The domain here is interesting. Recall that . This means that sec(x) is undefined when sin(x) is 0. Thus, the domain is best described in set builder notation, rather than interval notation, as follows:
{ k is an integer}
- The range is
- It is continuous and smooth on its domain (off the domain is another story)
- It is odd (in the mathematical sense and also in the common sense); recall that this means that
- It has period ; this means that as x moves along, the y-values repeat starting every