# Tangent 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 tan(x) is undefined when cos(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