Simplify cos(x)*sin(x)

Problem

cos(x)*sin(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 solve for the product sin(x)*cos(x) by dividing both sides by 2.

3. Substitute the expression into the identity form to obtain the simplified version.

Final Answer

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

Want more problems? Check here!