Sketch the graphs of the following pairs of functions on the same axes :
f(x) = sin 2x, g(x) = 2 sin x

Question

Sketch the graphs of the following pairs of functions on the same axes :f(x) = sin 2x, g(x) = 2 sin x

Philoid · Accepted Answer

We observe that the functions f(x) = sin 2x and g (x) = 2 sin x are periodic functions with periods π and π.

The values of these functions are tabulated below:

Values of f (x) = sin (2x) in [0, π]

Values of g (x) = 2 sin x in [0, π]

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