Answer
The required solution is False.
Work Step by Step
The given statement shows that the formula for $\frac{\cos \,2A}{2}$ is cos A but there is no identity present for $\frac{\cos \,2A}{2}$ ; there is the identity for cos 2A that is as given below:
$\cos \,2A={{\cos }^{2}}A-{{\sin }^{2}}A$
Or another identity is as follows:
$\cos \,2A=2\,{{\cos }^{2}}A-1$
The given statement shows the wrong identity and formula.