Question

Simplify the expression sin(pi+x) + sin(pi - x)

Answer 1

   
$\sin(\pi+x) = -\sin(x) \\ \\ \sin(\pi-x) = \sin(x) \\ \\ \sin(\pi+x) + \sin(\pi-x) = -\sin(x) + \sin(x) = \boxed{0}$