SOLUTION: Simplify the given expression.
sin(x-y)cos(y)+cos(x-y)sin(y)
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Question 595825: Simplify the given expression.
sin(x-y)cos(y)+cos(x-y)sin(y)
Answer by jim_thompson5910(35256) (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 \cos(y)+\cos(x-y)\sin(y) = \sin(x) "x")
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)
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