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