\(\color{blue} \sin (\text{A + B}) = \sin \text{A}\cos \text{B} + \cos \text{A} \sin \text{B}\)
\(\color{blue} \sin (\text{A − B}) = \sin \text{A}\cos \text{B}\:-\:\cos \text{A} \sin \text{B}\)
\(\color{blue} \cos (\text{A + B}) = \cos \text{A}\cos \text{B}\:-\:\sin \text{A} \sin \text{B}\)
\(\color{blue} \cos (\text{A − B}) = \cos \text{A}\cos \text{B} + \sin \text{A} \sin \text{B}\)
\(\color{blue} \tan (\text{A + B}) = \dfrac{\tan \text{A} + \tan \text{B}}{1\:-\:\tan \text{A} \tan \text{B}}\)
\(\color{blue} \tan (\text{A − B}) = \dfrac{\tan \text{A} \:-\: \tan \text{B}}{1 + \tan \text{A} \tan \text{B}}\)