SOLUTION: Please help me with this problem, express sin(3x)cos(5x) as a sum or difference of trig functions. Thank You

Question 515587: Please help me with this problem,
express sin(3x)cos(5x) as a sum or difference of trig functions.
Thank You
Answer by drcole(72) (Show Source): You can put this solution on YOUR website!
Let's recall the sum and difference formulae for the sine function:

If we sum these two equations (in other words, add together the left hand sides and the right hand sides), the term with will cancel out, leaving:

(dividing both sides by 2)
So . In your problem, and , so we get:

(simplifying)
(recalling that for any , )
(distributing the )

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