Final Answer
Step-by-step Solution
Specify the solving method
Starting from the right-hand side (RHS) of the identity
Simplify $2\sin\left(2\right)\cos\left(2\right)$ using the trigonometric identity: $\sin(2x)=2\sin(x)\cos(x)$
Multiply $2$ times $2$
Any expression multiplied by $1$ is equal to itself
Since we have reached the expression of our goal, we have proven the identity