The general solution of \(2\cos^2\theta+3\sin\theta=0\) is
A. \(\theta=n\pi\pm\frac{\pi}{6},\ n\in\mathbb Z\)
B. \(\theta=2n\pi\pm\frac{\pi}{3},\ n\in\mathbb Z\)
C. \(\theta=n\pi+(-1)^n\frac{\pi}{6},\ n\in\mathbb Z\)
D. \(\theta=n\pi+(-1)^n\left(-\frac{\pi}{6}\right),\ n\in\mathbb Z\)