Expand the Trigonometric Expression sin(x)cos(x)

Problem

sin(x)*cos(x)

Solution

1. Identify the relevant trigonometric identity. The double-angle formula for sine is sin(2*x)=2*sin(x)*cos(x)

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

3. Substitute the identity into the original expression to find the expanded or alternative form.

Final Answer

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

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