#### Answer

FALSE

#### Work Step by Step

We have:
$\sin(30^{\circ} + 60^{\circ})$ = $\sin 30^{\circ}$ + $\sin 60^{\circ}$
The questions becomes if the below statement is true.
$\sin 90^{\circ}$ = $\sin 30^{\circ}$ + $\sin 60^{\circ}$
To break this down, we calculate each function separately.
$\sin 30^{\circ}$ = $\frac{1}{2}$
$\sin 60^{\circ}$ = $\frac{\sqrt 3}{2}$
$\sin 90^{\circ}$ = 1
Is the following true?
1 = $\frac{1}{2}$ + $\frac{\sqrt 3}{2}$
1 = 1.37
The answer becomes FALSE.