Answer :

We know that f (x) = cos x is a periodic function with period 2π.


h (x) = cos2 2x is a periodic function with period π. So, we will draw the graph of h (x) = cos2 2x in the interval [0, π]. The values of h (x) = cos2 2x at various points in [0, π] are listed in the following table:



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



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