Determinants

Let \(A = \begin{bmatrix} 1 & \sin\theta & 1 \\ -\sin\theta & 1 & \sin\theta \\ -1 & -\sin\theta & 1 \end{bmatrix}\), where \(0 \le \theta \le 2\pi\). Then: (A) \(\det(A) = 0\) (B) \(\det(A) \in (2, \infty)\) (C) \(\det(A) \in (2, 4)\) (D) \(\det(A) \in [2, 4]\)