\({\rm{f}}\left( {\rm{x}} \right) = \left\{ {\begin{array}{*{20}{c}} { - 2\sin x}&{{\rm{if\;x}} \le \frac{{\rm{-\pi }}}{2}}\\ {{\rm{A}}\sin x + B}&{{\rm{if}} - \frac{{\rm{\pi }}}{2} < {\rm{x}} < \frac{{\rm{\pi }}}{2}}\\ {\cos x}&{{\rm{if\;x}} \ge \frac{{\rm{\pi }}}{2}} \end{array}} \right.\), Which is continuous everywhere.The value of A is

• A. 1
• B. 0
• C. -1
• D. -2