Answer
False
Work Step by Step
$/sin$ 10$^{\circ}$ + $sin$ 10$^{\circ}$ = $sin$ 20$^{\circ}$
$\sin$ 10$^{\circ}$ $\approx$ 0.173648
Therefore:
$\sin$ 10$^{\circ}$ + $\sin$ 10$^{\circ}$ $\approx$ 0.173648 + 0.173648
$\sin$ 10$^{\circ}$ + $\sin$ 10$^{\circ}$ $\approx$ 0.347296
$\sin$ 20$^{\circ}$ $\approx$ 0.342020
Therefore
$\sin$ 10$^{\circ}$ + $\sin$ 10$^{\circ}$ $\ne$ $\sin$ 20$^{\circ}$