Simplify sin(x)+sin(y)

Problem

sin(x)+sin(y)

Solution

1. Identify the sum-to-product identity for sine functions.

2. Apply the formula for the sum of two sines, which is sin(A)+sin(B)=2*sin((A+B)/2)*cos((A−B)/2)

3. Substitute x for A and y for B into the identity.

Final Answer

sin(x)+sin(y)=2*sin((x+y)/2)*cos((x−y)/2)

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