1.
Let dRd\in\mathbb{R}, and
A=[24+dsinθ21sinθ+2d52sinθdsinθ+2+2d]A=\begin{bmatrix} -2 & 4+d & \sin\theta-2 \\ 1 & \sin\theta+2 & d \\ 5 & 2\sin\theta-d & -\sin\theta+2+2d \end{bmatrix}

θ[0,2π]\theta\in[0,2\pi]. If the minimum value of det(A)\det(A) is 88, then a value of dd is: