[tex]\bf \textit{Sum and Difference Identities}
\\ \quad \\
sin({{ \alpha}} + {{ \beta}})=sin({{ \alpha}})cos({{ \beta}}) + cos({{ \alpha}})sin({{ \beta}})
\\ \quad \\
sin({{ \alpha}} - {{ \beta}})=sin({{ \alpha}})cos({{ \beta}})- cos({{ \alpha}})sin({{ \beta}})
\\ \quad \\
cos({{ \alpha}} + {{ \beta}})= cos({{ \alpha}})cos({{ \beta}})- sin({{ \alpha}})sin({{ \beta}})
\\ \quad \\
cos({{ \alpha}} - {{ \beta}})= cos({{ \alpha}})cos({{ \beta}}) + sin({{ \alpha}})sin({{ \beta}})\\\\
-------------------------------[/tex]
[tex]\bf sin(96^o)cos(264^o)+cos(96^o)sin(264^o)\implies sin(96^o+264^o)
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sin(360^o)\implies 0\\\\
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sin(258^o)cos(33^o)-cos(258^o)sin(33^o)\implies sin(258^o-33^o)
\\\\\\
sin(225^o)\implies -\cfrac{\sqrt{2}}{2}[/tex]
