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kesfaberlik
@kesfaberlik
July 2022
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Упростите выражение
1) 1 + sin ²α + cos²α
2) 1 - sin ²α - cos²α
3) sin ² α + cos² α - 1
4) 2 - sin ² α - cos² α
5) sin² α - 1
6) cos² α -1
7) 2 sin² α + cos ² α - 1
8) sin ² α - 1 + cos² α
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rubilovalex
1). 1+sin^2a+cos^2a=1+1=2; 2). 1-(sin^2a+cos^2a)=1-1=0; 3). sin^2a+cos^2a-1=1-1=0; 4).2-sin^2a+-cos^2a=2-(sin^2a+cos^2a)=2-1=1; 5). sin^2a-1=sin^2a-sin^2a-cos^2a= -cos^2a; 6). cos^2a-1=cos^2a-cos^2a-sin^2a= -sin^2a; 7). 2 sin^2a+cos^2a-1=2sin^2a+cos^2a-cos^2a-sin^2a=2sin^2a-sin^2a=sin^2a; 8). sin^2a-1+cos^2a=sin^2a-sin^2a-cos^2a+cos^2a=0.
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