Solve sin(x)+sin(2x)+sin(3x)=0\sin(x) + \sin(2x) + \sin(3x) = 0sin(x)+sin(2x)+sin(3x)=0 for x∈[0,2π]x \in [0, 2\pi]x∈[0,2π].
π3,2π3,4π3,5π3\frac{\pi}{3}, \frac{2\pi}{3}, \frac{4\pi}{3}, \frac{5\pi}{3}3π,32π,34π,35π
π2,π,3π2\frac{\pi}{2}, \pi, \frac{3\pi}{2}2π,π,23π
0,π,2π0, \pi, 2\pi0,π,2π
0,π2,2π3,π,4π3,3π2,2π0, \frac{\pi}{2}, \frac{2\pi}{3}, \pi, \frac{4\pi}{3}, \frac{3\pi}{2}, 2\pi0,2π,32π,π,34π,23π,2π