The following relationship is know to be true for two angles $\displaystyle {A}$ and $\displaystyle {B}$: $\displaystyle {\cos{{\left({A}\right)}}}{\cos{{\left({B}\right)}}}-{\sin{{\left({A}\right)}}}{\sin{{\left({B}\right)}}}={0.827277}$

Express $\displaystyle {A}$ in terms of the angle $\displaystyle {B}$. Work in degrees and report numeric values accurate to 2 decimal places.
$\displaystyle {A}=$ Preview Question 6  

Enter your answer as an expression. Be sure your variables match those in the question.