Question

Sketch the graphs of the following trigonometric function :

g(x) = cos 2π x

Answer 1

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

∴ g (x) = cos (2πx) is a periodic function with period 1. So, we will draw the graph of g (x) = cos (2πx) in the interval [0, 1]. The values of g (x) = cos (2πx) at various points in [0, 1] are listed in the following table:

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