# What is the difference between the graph of #f(x)=sin(4x)# and that of #f(x)=sin(5x)cosx-cos(5x)sinx#?

##### 1 Answer

Mar 7, 2017

They are same.

#### Explanation:

Graph of

graph{sin(4x) [-5, 5, -2.46, 2.54]}

Graph of

graph{sin(5x)cosx-cos(5x)sinx [-5, 5, -2.46, 2.54]}

It is evident that the two are identical. The reason is that

This is as