Final answer to the problem
Step-by-step Solution
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Simplify $\left(\tan\left(x\right)+\cos\left(x\right)\right)\sin\left(x\right)\cos\left(x\right)$ using the trigonometric identity: $\sin(2x)=2\sin(x)\cos(x)$
There is no identity or mathematical rule that allows us to proceed trying to match both sides of the equality, so we conclude that it is not true