Sketch the graphs of the following functions :

We know that if f(x) is a periodic function with period T, then f (ax + b) is periodic with period T/|a|.


is a periodic function with period 2π. So, we will draw the graph of in the interval [0, 2π]. The values of at various points in [0, 2π] are listed in the following table:



By plotting the above points, we obtain the required curve.



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