Упрости выражение 2 \sin ^{2} \alpha -2 \sin ^{2} \alpha \sin ^{2} \alpha 2 \cos ^{2} \alpha \dfrac{\sqrt{2}}{2} -\dfrac{\sqrt{2}}{2} -2 2 (\sin \alpha +\cos \alpha)^{2}+(\sin \alpha -\cos \alpha)^{2}= \sin ^{2} \alpha- \cos ^{2} \alpha +1= (1+\cos \alpha)(1-\cos \alpha)=

Задание

Упрости выражение

\(2 \sin ^{2} \alpha\)
\(-2 \sin ^{2} \alpha\)
\(\sin ^{2} \alpha\)
\(2 \cos ^{2} \alpha\)
\(\dfrac{\sqrt{2}}{2}\)
\(-\dfrac{\sqrt{2}}{2}\)
\(-2\)
\(2\)

\((\sin \alpha +\cos \alpha)^{2}+(\sin \alpha -\cos \alpha)^{2}=\) [ ]

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

\((1+\cos \alpha)(1-\cos \alpha)=\) [ ]