Sketch the graphs of the following trigonometric functions :
h(x) = cos2 2x
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.