Sketch the graphs of the following pairs of functions on the same axes :

f(x) = sin 2x, g(x) = 2 sin x

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.



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