Evaluate

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

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Solution

Let space increment space equals open vertical bar table row cell cos space straight theta end cell cell negative 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 equals cos squared space straight theta plus sin squared space straight theta equals 1

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