Solving for angle t from a sum of eigenvalues

Let $\gamma_1, \gamma_2, \gamma_3$ be the eigenvalues of the matrix $\begin{bmatrix} 1 & 0 & 0 \ 0 & \cos t & \sin t \ 0 & -\sin t & \cos t \end{bmatrix}$, where $t \in [-\pi, \pi]$ is in radians. Which one of the following options lists all the possible values of $t$ satisfying $\gamma_1 + \gamma_2 + \gamma_3 = 1 + \sqrt{2}$ ?