How To Simplify The Expression Sin(X+Y) Using The Identity Sin(A+B) = Sin(A)Cos(B) + Cos(A)Sin(B)

sin(x+y)=

sinxcosy+cosxsiny

The expression sin(x+y) represents the sine of the sum of x and y. To simplify this expression, we can use the identity:

sin(a+b) = sin(a)cos(b) + cos(a)sin(b)

Using this identity, we can rewrite sin(x+y) as:

sin(x+y) = sin(x)cos(y) + cos(x)sin(y)

Therefore, sin(x+y) is equal to sin(x)cos(y) plus cos(x)sin(y).

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