If \[\overrightarrow{A}=\overrightarrow{B}-\overrightarrow{C}\], then, the angle between \[\overrightarrow{A}\] and \[\overrightarrow{B}\] is

• A. \[\text{ta}{{\text{n}}^{-1}}\frac{{{B}^{2}}+{{A}^{2}}-{{C}^{2}}}{2AB}\]          
• B. \[{{\sin }^{-1}}\frac{{{B}^{2}}+{{A}^{2}}-{{C}^{2}}}{2AB}\]
• C. \[{{\cos }^{-1}}\frac{{{A}^{2}}+{{B}^{2}}-{{C}^{2}}}{2AB}\]    
• D. \[{{\sec }^{-1}}\frac{{{A}^{2}}+{{B}^{2}}-{{C}^{2}}}{2AB}\]