Answer
The required solution is False.
Work Step by Step
The given statement shows that there are two ways of writing the half angles in any trigonometric function that is as given below:
$\tan \,\frac{\alpha }{2}=\frac{1}{2}\,\tan \alpha $
That statement is not true because the half angle does not pull to the front and written as the coefficient as the two half angles do not coincide with each other and are not equal to each other.