Determinants Warm Up

Geometry Level 2

\[ \large{\begin{bmatrix}{\sin x} && {0} && {-1} \\ {0} && {\tan x} && {1} \\ {\cos^3 x \csc x} && {0} && {\cos x}\end{bmatrix}} \]

If \(d\) is the deteriminant to the matrix above, find \(d^{2015} + 1\).

Assume \( x \in \mathbb R- \left \{ \dfrac{k\pi}2 \right \} \) for integer \(k\).

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