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konovalovaaniuta
@konovalovaaniuta
November 2021
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Упростите выражения:
1)sin(П+а)+cos(3П/2-а)
2)tg(П/2+а)-ctg(2П-а)
3)cos2a+2 sin^2(П-а)
4)sina/1+cosa+sina/1-cosa
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Answers & Comments
avilov41
Решение;
1) sin(П+a)+cos(3П/2-a)=-sina-sina= -2sina
2)tg(П/2+a)-ctg(2П-a)=-ctga+ctga=0.
3) cos2a+2sin^2(П-a)=1-2sin^2a+2sin^2a=1.
4)sina:(1+cosa)+sina:(1-cosa)=sina(1-cosa+1+cosa):(1-cos^2a)=2sina/sin^2a=
=2/sina.
3 votes
Thanks 2
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Answers & Comments
1) sin(П+a)+cos(3П/2-a)=-sina-sina= -2sina
2)tg(П/2+a)-ctg(2П-a)=-ctga+ctga=0.
3) cos2a+2sin^2(П-a)=1-2sin^2a+2sin^2a=1.
4)sina:(1+cosa)+sina:(1-cosa)=sina(1-cosa+1+cosa):(1-cos^2a)=2sina/sin^2a=
=2/sina.