Simplify 2sin(2x)

Problem

2*sin(2*x)

Solution

1. Identify the double angle identity for the sine function.

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

2. Substitute the identity into the original expression.

2*(2*sin(x)*cos(x))

3. Multiply the constants to simplify the expression.

4*sin(x)*cos(x)

Final Answer

2*sin(2*x)=4*sin(x)*cos(x)

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