Докажи тождество {\cos ^4\alpha - 6\cos ^2\alpha \sin ^2\alpha + \sin ^4\alpha\mathrlap{\,=}} {= \cos 4\alpha}.
Задание

Докажи тождество

\({\cos ^4\alpha - 6\cos ^2\alpha \sin ^2\alpha + \sin ^4\alpha\mathrlap{\,=}}\) \({= \cos 4\alpha}\) .