Question

Rewrite as a sum or difference.
cos(5t)sin(8t)

Answer 1

I'm not absolutely sure about this one but here is something that I think might answer this problem.

(cos 5t)(sin 8t) is the same as (sin 8t)(cos 5t)

Here is an equation that involves the above:

sin (A+B)=(sinA)(cosB)+(cosA)(sinB)
(sinA)(cosB)=sin (A+B)-(cosA)(sinB)

Therefore, from the above A=8t and B=5t

(sin8t)(cos5t)=sin (8t+5t)-(cos8t)(sin5t)