Answer
False
Work Step by Step
$\cos$(30$^{\circ}$ + 60$^{\circ}$) = $\cos$ 30$^{\circ}$ + $\cos$ 60$^{\circ}$
$\cos$(30$^{\circ}$ + 60$^{\circ}$) = $\cos$ 90$^{\circ}$ = 0$^{\circ}$
$\cos$ 60$^{\circ}$ = $\frac{1}{2}$
$\cos$ 30$^{\circ}$ = $\frac{\sqrt 3}{2}$
$\cos$ 30$^{\circ}$ + $\cos$ 60$^{\circ}$ = $\frac{\sqrt 3}{2}$ + $\frac{1}{2}$ = $\frac{\sqrt3 + 1}{2}$
0$^{\circ}$ $\ne$ $\frac{\sqrt3 + 1}{2}$
Therefore, the statement is false.
