Find the set of all x∈[0,2π]x \in [0, 2\pi]x∈[0,2π] such that sin(x)+sin(2x)+sin(3x)=0\sin(x) + \sin(2x) + \sin(3x) = 0sin(x)+sin(2x)+sin(3x)=0.
{0,π,2π}\{0, \pi, 2\pi\}{0,π,2π}
{0,π2,π,3π2,2π}\{0, \frac{\pi}{2}, \pi, \frac{3\pi}{2}, 2\pi\}{0,2π,π,23π,2π}
{0,π3,2π3,π,4π3,5π3,2π}\{0, \frac{\pi}{3}, \frac{2\pi}{3}, \pi, \frac{4\pi}{3}, \frac{5\pi}{3}, 2\pi\}{0,3π,32π,π,34π,35π,2π}
{0,π4,π2,π,2π}\{0, \frac{\pi}{4}, \frac{\pi}{2}, \pi, 2\pi\}{0,4π,2π,π,2π}