Changing the Period of the Tangent Function
Now try the tangent function and see what happens to the graph of f(x) = tan(x) when you change the period.
Graph the function f(x) = tan(2x). What is the period of this function and how does the graph compare to f(x) = tan(x)?
Remember: the period of the tangent and cotangent functions is defined as 
.
For f(x) = tan(2x), k = 2, so the period is 
.
Notice that the period of f(x) = tan(x) is 
, and the period for f(x) = tan(2x) is , shown in the graph above.