How Do You Express sin(7t) - sin(6t) Using Trig Identities?

[Thadis]

Homework Statement

Write sin(7t)-sin(6t) as a product of two trig. functions.

Homework Equations

e^(ix)=cos(x)+isin(x)
sin(2x)=2cos(x)sin(x)
cos(2x)=cos^2(x)-sin^2(x)

The Attempt at a Solution

I do not really know how to approach this. I have tried using the sin(2x) identity but I could not get the correct answer from it. Can anyone help?

 

[Dick]

Homework Statement

Write sin(7t)-sin(6t) as a product of two trig. functions.

Homework Equations

e^(ix)=cos(x)+isin(x)
sin(2x)=2cos(x)sin(x)
cos(2x)=cos^2(x)-sin^2(x)

The Attempt at a Solution

I do not really know how to approach this. I have tried using the sin(2x) identity but I could not get the correct answer from it. Can anyone help?

There is a trig identity for sin(A)-sin(B). You can either look it up or work it out by figuring out what sin(a+b)-sin(a-b) would be using the addition formulas.