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Let \( \lambda \) and \( \alpha \) be real. Let \( S \) denote the set of all values of \( \lambda \) for which the system of linear equations
\[
\begin{array}{l}
\lambda x+(\sin \alpha) y+(\cos \alpha) z=0 \\
x+(\cos \alpha) y+(\sin \alpha) z=0 \\
-x+(\sin \alpha) y-(\cos \alpha) z=0
\end{array}
\]
has a non-trivial solution then \( S \) does not contain
(A) \( (-1,1) \)
(B) \( [-\sqrt{2},-1] \)
(C) \( [1, \sqrt{2}] \)
(D) \( (-\sqrt{2}, \sqrt{2}) \)
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