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

Jan 26, 2017

See explanation and graphs.

#### Explanation:

Separately the periods for sin 4x and sin x are $\frac{\pi}{2} \mathmr{and} 2 \pi$.

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

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

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

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

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