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The applet below lets you explore the graphs of variations of the tangent function. The red graph is tan(x), and the green graph is a more general tangent function Atan(kx-B). Use the sliders to explore the effects of changing the vertical stretch, period, and phase shift by changing A, k, and B.
By changing the formulas in the applet to sec, cot, and csc, you can explore the graphs of these other trig functions as well.
MultiGraph applet written by David Eck (http://math.hws.edu/javamath/index.html)
Math 141-142 home page