If \(\sin 6 \theta+\sin 4 \theta+\sin 2 \theta=0\), then general value of \(\theta\) is
(A) \(\frac{n \pi}{4}, n \pi \pm \frac{\pi}{3}\)
(B) \(\frac{n \pi}{4}, n \pi \pm \frac{\pi}{6}\)
(C) \(\frac{n \pi}{4}, 2 n \pi \pm \frac{\pi}{3}\) (n is integer)
(D) \(\frac{\mathrm{n} \pi}{4}, 2 \mathrm{n} \pi \pm \frac{\pi}{6}\)