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

bedastega4n3

bedastega4n3

Answered question

2023-03-11

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

Answer & Explanation

Nathanael Bates

Nathanael Bates

Beginner2023-03-12Added 2 answers

Graph of f ( x ) = sin ( 4 x ) is as follows:
graph{sin(4x) [-5, 5, -2.46, 2.54]}
Graph of g ( x ) = sin ( 5 x ) cos x - cos ( 5 x ) sin x is as follows:
graph{sin(5x)cosx-cos(5x)sinx [-5, 5, -2.46, 2.54]}
The similarity between the two is obvious. The reason is that sin ( 4 x ) = sin ( 5 x ) cos x - cos ( 5 x ) sin x
This is as sin ( A - B ) = sin A cos B - cos B sin A and putting A = 5 x and B = x we get above result.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?