1.

If \({\rm{A}} = \left[ {\begin{array}{*{20}{c}} 1&{{\rm{sin\theta }}}&1\\ { - {\rm{sin\theta }}}&1&{{\rm{sin\theta }}}\\ { - 1}&{ - {\rm{sin\theta }}}&1 \end{array}} \right]{\rm{\;}}\) then for all \(\rm \theta \in ( \frac {3_\pi}{4}, \ \frac {5\pi}{4})\) lies in the interval

A. \(\left( {\frac{3}{2},3} \right.]\)
B. \(\left[ {\frac{5}{2},4} \right)\)
C. \(\left( {0,\frac{3}{2}} \right]\)
D. \(\left( {1,\frac{5}{2}} \right)\)
Answer» B. \(\left[ {\frac{5}{2},4} \right)\)


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