SOLUTION: Write {{{sin(7x)cos(5x)}}} as a sum Write {{{cos(7x)-sin(5x) }}} as a product

Algebra ->  Trigonometry-basics -> SOLUTION: Write {{{sin(7x)cos(5x)}}} as a sum Write {{{cos(7x)-sin(5x) }}} as a product      Log On


   

Question 138826: Write sin%287x%29cos%285x%29 as a sum


Write cos%287x%29-sin%285x%29+ as a product
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
1)

Start with the given expression


Use the Product-to-Sum formula


Add/Subtract


Distribute



So





2)

Are you sure that it's cos%287x%29-sin%285x%29+? There are no corresponding sum-to-product identities for mixed the trig functions sine and cosine.

Double check your assignment.