Question

1-(cosальфа-sinальфа)^2
решить

Answer 1

$1 - (\cos \alpha - \sin \alpha )^{2} = 1 - (\cos^{2}\alpha - 2\sin \alpha \cos \alpha + \sin^{2} \alpha ) = 1 - (1 - \sin 2\alpha ) =\\= 1 - 1 + \sin 2\alpha = \sin 2\alpha$

Ответ: $\sin 2\alpha$