Answer
False
Work Step by Step
$\cos$ 60$^{\circ}$ = 2 $\cos$ 30$^{\circ}$
$\cos$ 60$^{\circ}$ = $\frac{1}{2}$
$\cos$ 30$^{\circ}$ = $\frac{\sqrt3}{2}$
2 $\cos$ 30$^{\circ}$ = 2($\frac{\sqrt3}{2}$)
2 $\cos$ 30$^{\circ}$ = $\sqrt3$
Thus:
$\frac{1}{2}$ $\ne$ $\sqrt3$
Therefore, $\cos$ 60$^{\circ}$ = 2 $\cos$ 30$^{\circ}$ is a false statement.