Today in class we used the TiNspire calculators to investigate the graphs of tangent and cotangent before figuring out their base graphs and some of their transformations.
Tangent base graph: y=tan(x)
The basic points of a tangent graph are:
This is true only where n is an odd integer
Asymptotes at x = -pi/2 and pi/2
y=2tan(x)
This stetches the graph in the middle by a factor of 2
Cotangent base graph: y=cot(x)
The basic points of aa cotangent graph are:
This is true when n is an integer
y=cot(2x)
Hope this helps you out! If you need more examples you can check out Mr. Corn's website here.
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