How do you graph $y = sin4x - 4 sin x$ ?

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Answer 1 · 2017-01-26T12:48:51

See explanation and graphs.

Separately the periods for sin 4x and sin x are $pi/2 and 2pi$ .

The LCM = $2pi$ is the period for the compounded oscillation

$y = sin 4x-4 sin x$ .

The second not-to-scale graph is for just one period $x in [-pi, pi]$ .

graph{sin 4x - 4 sin x [-40, 40, -20, 20]}

graph{sin 4x - 4 sin x [-3.14, 3.14, -6.28, 6.28]}

How do you graph y = sin4x - 4 sin xy = sin4x - 4 sin x?