How Can You Transform Sin(t)*Sin(x) into f(x+t)+g(x-t) Using Trig Identities?

[Bassoonmac]

[SOLVED] Trigonometric Transformation

This is a calculus 3 problem, but this part involves only trig identities:
Make the function f(x,t) = sin(t)*sin(x) into the form: f(x+t)+g(x-t).
I'm not sure whether to use half angle formulas, or what?

 

[cristo]

I'm not sure whether to use half angle formulas...

Yup, I'd try that!