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

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

We observe that the functions f(x) = sin x and g (x) = sin (x + π/4) are periodic functions with periods 2π and 7π/4.


The values of these functions are tabulated below:


Values of f (x) = sin x in [0, 2π]



Values of g (x) = sin (x + π/4) in [0, 7π/4]



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



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