Simplify sin(x)*cos(x)

Problem

sin(x)*cos(x)

Solution

1. Identify the double angle identity for sine, which states sin(2*x)=2*sin(x)*cos(x)

2. Rearrange the identity to isolate the product sin(x)*cos(x) by dividing both sides by 2

3. Substitute the resulting expression 1/2*sin(2*x) for the original expression.

Final Answer

sin(x)*cos(x)=1/2*sin(2*x)

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