Question

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

Answer 1

 f(x) = sin x, g(x) = sin 2x
Clearly, sin x and sin 2x is a periodic function with period 2π and π, respectively.

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


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