Question

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

Answer 1

f(x) = sin 2x, g(x) = 2 sin x

Clearly, sin 2x and 2 sin x is a periodic function with period π and 2π, respectively.

The graphs of f(x) = sin 2x and g(x) = 2 sin x on different axes are shown below:

If these two graphs are drawn on the same axes, then the graph is shown below.