Evaluates :
$open vertical bar table row cell 2 space cos space straight theta space space end cell cell negative 2 space sin space straight theta end cell row cell sin space straight theta end cell cell cos space straight theta end cell end table close vertical bar$

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Solution

Let space space space increment space space equals space open vertical bar table row cell 2 cos space straight theta space space end cell cell negative 2 sin space straight theta end cell row cell sin space straight theta end cell cell cos space straight theta end cell end table close vertical bar space space space space space space space space space space space space space space space equals space left parenthesis 2 cos space straight theta right parenthesis left parenthesis cos space straight theta right parenthesis minus left parenthesis negative 2 sin space straight theta right parenthesis left parenthesis sin space straight theta right parenthesis equals 2 cos squared straight theta space plus 2 space 2 sin squared space straight theta space space space space space space space space space space space space space space space space space space space equals space 2 space left parenthesis cos squared space straight theta space plus space sin squared space straight theta right parenthesis equals 2 left parenthesis 1 right parenthesis equals 2

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