Compute the following :

$open square brackets table row cell cos squared straight x end cell cell sin squared straight x end cell row cell sin squared straight x end cell cell cos squared straight x end cell end table close square brackets plus open square brackets table row cell sin squared x end cell cell cos squared x end cell row cell cos squared x end cell cell sin squared x end cell end table close square brackets$

Solution

open square brackets table row cell cos squared straight x end cell cell sin squared straight x end cell row cell sin squared straight x end cell cell cos squared straight x end cell end table close square brackets plus open square brackets table row cell sin squared straight x end cell cell cos squared straight x end cell row cell cos squared straight x end cell cell sin squared straight x end cell end table close square brackets space space space space space space equals open square brackets table row cell cos squared straight x end cell cell sin squared straight x end cell row cell sin squared straight x end cell cell cos squared straight x end cell end table space space space space space table row cell sin squared straight x end cell cell cos squared straight x end cell row cell cos squared straight x end cell cell sin squared straight x end cell end table close square brackets equals open square brackets table row 1 1 row 1 1 end table close square brackets

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