Let \(A=\left(\begin{array}{ccc}1 & 0 & 0 \\ 0 & \text { cost } & \sin t \\ 0 & -\sin t & \cos t\end{array}\right)\)
et \(\lambda_{1}, \lambda_{2}, \lambda_{3}\) be the roots of \(\operatorname{det}\left(A-\lambda I_{3}\right)=0\), where \(I_{3}\) denotes the identity matrix. If \(\lambda_{1}+\lambda_{2}+\lambda_{3}=\sqrt{2}+1\), then the set f possible values of \(t,-\pi \leq t<\pi\) is
(A) a void set
(B) \(\left\{\frac{\pi}{4}\right\}\)
(C) \(\left\{-\frac{\pi}{4}, \frac{\pi}{4}\right\}\)
(D) \(\left\{-\frac{\pi}{3}, \frac{\pi}{3}\right\}\)