SOLUTION: Simplify the given expression. sin(x-y)cos(y)+cos(x-y)sin(y)

Algebra ->  Trigonometry-basics -> SOLUTION: Simplify the given expression. sin(x-y)cos(y)+cos(x-y)sin(y)      Log On


   

Question 595825: Simplify the given expression.
sin(x-y)cos(y)+cos(x-y)sin(y)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sin(x-y)cos(y)+cos(x-y)sin(y)

sin( (x-y) + y) ... See note below

sin(x - y + y)

sin(x)


Answer: So for all values of x and y.

Note: In step 2, I used the identity sin(A + B) = sin(A)cos(B)+cos(A)sin(B)