Sketch the graphs of the following curves on the same scale and the same axes : y = cos x and y = cos (x - π /4)

Question

Sketch the graphs of the following curves on the same scale and the same axes :

y = cos x and y = cos (x - \(\cfrac{\pi}4\))

Answer 1

We observe that the functions y = cos x and y = cos (x - π/4) are periodic functions with periods π and π.

The values of these functions are tabulated below:

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