1.

If A = \(\left[ {\begin{array}{*{20}{c}}{{\rm{cos\theta }}}&{ - {\rm{sin\theta }}}\\{{\rm{sin\theta }}}&{{\rm{cos\theta }}}\end{array}} \right],\) then the matrix A-50 when \({\rm{\theta }} = \frac{{\rm{\pi }}}{{12}}\) is equal to:

A. \(\left[ {\begin{array}{*{20}{c}}{\frac{1}{2}}&{ - \frac{{\sqrt 3 }}{2}}\\{\frac{{\sqrt 3 }}{2}}&{\frac{1}{2}}\end{array}} \right]\)
B. \(\left[ {\begin{array}{*{20}{c}}{\frac{{\sqrt 3 }}{2}}&{ - \frac{1}{2}}\\{\frac{1}{2}}&{\frac{{\sqrt 3 }}{2}}\end{array}} \right]\)
C. \(\left[ {\begin{array}{*{20}{c}}{\frac{{\sqrt 3 }}{2}}&{\frac{1}{2}}\\{ - \frac{1}{2}}&{\frac{{\sqrt 3 }}{2}}\end{array}} \right]\)
D. \(\left[ {\begin{array}{*{20}{c}}{\frac{1}{2}}&{\frac{{\sqrt 3 }}{2}}\\{ - \frac{{\sqrt 3 }}{2}}&{\frac{1}{2}}\end{array}} \right]\)
Answer» D. \(\left[ {\begin{array}{*{20}{c}}{\frac{1}{2}}&{\frac{{\sqrt 3 }}{2}}\\{ - \frac{{\sqrt 3 }}{2}}&{\frac{1}{2}}\end{array}} \right]\)


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