Докажите тождество
[tex](sin \alpha +cos \alpha ) ^{2} +(sin \alpha -cos \alpha ) ^{2} =2[/tex]
[tex](sin \alpha +cos \alpha ) ^{2} +(sin \alpha -cos \alpha ) ^{2} =2[/tex]
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Sin²a+2sinacosa+cos²a+sin²a-2sinacosa+cos²a=2(sin²a+cos²a)=2*1=2