Simplify sin(x)sin(y)

Problem

sin(x)*sin(y)

Solution

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

2. Apply the formula sin(A)*sin(B)=1/2*[cos(A−B)−cos(A+B)]

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

4. Simplify the expression by distributing the constant factor.

Final Answer

sin(x)*sin(y)=1/2*(cos(x−y)−cos(x+y))

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