2sin^2 2 альфа + 2cos(п:2 - альфа) + 2 cos^2 2 альфа

[latex]2sin^22 \alpha +2cos(\frac{\pi}{2}- \alpha )+2cos^22 \alpha =\\\\=2(sin^22 \alpha +cos^22 \alpha )+2sin \alpha =2\cdot 1+2sin \alpha =2(1+sin \alpha )\; ;\\\\ili\\\\2sin^22 \alpha +2cos(\frac{\pi}{2}- \alpha )+2cos^22 \alpha =\\\\=2(sin^22 \alpha +cos^22 \alpha )+2cos(\frac{\pi}{2}- \alpha )=2(1+cos(\frac{\pi}{2}- \alpha ))=\\\\=[\, cos^2x=\frac{1+cos2x}{2}\, ]=2\cdot 2cos^2(\frac{\pi}{4}-\frac{ \alpha }{2})=4cos^2(\frac{\pi}{4}-\frac{ \alpha }{2})\; ;[/latex]