Simplify 3sin(2x)

Problem

3*sin(2*x)

Solution

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

2. Substitute the identity into the original expression.

3*sin(2*x)=3*(2*sin(x)*cos(x))

3. Multiply the constants to simplify the expression.

3⋅2=6

Final Answer

3*sin(2*x)=6*sin(x)*cos(x)

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