A function is represented by equation$y = A\,\cos \,\omega t\,\cos \,2\omega t + A\,\sin \,\omega t\,\sin \,2\omega t$.
Than the nature of the function is
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$y = A\,\cos \,\omega t\,\cos \,2\omega t + A\,\sin \,\omega t\,\sin \,2\omega t$
$= A\,\cos \,\left( {2\omega t - \omega t} \right) = A\,\cos \,\omega t$
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