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Potterdasha
@Potterdasha
September 2021
2
19
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Решите:
sin a * cos a * ctg a - 1
Варианты ответов:
1) 0
2) cos(квадрат) a
3) -sin(квадрат) a
4) sin(квадрат) a
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Answers & Comments
stack331
Ответ: 3
sina*cosa*(cosa/sina)-1= cos^2a-1=-(1-cos^2a)=-sin^2a :)
9 votes
Thanks 12
tolstolga
Ctg a= cos a/sin a;
sin a * cos a * cos a/sin a - 1=
=(sin a*cos^2 a - sin a) / sin a=
=sin a(cos^2 a - 1) / sin a=
=cos^2 a - 1= cos^2 a - (sin^2 a+cos^2 a)=
=cos^2 a -sin^2 a - cos^2 a= -sin^2 a
Otvet: 3)
3 votes
Thanks 7
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Answers & Comments
sina*cosa*(cosa/sina)-1= cos^2a-1=-(1-cos^2a)=-sin^2a :)
sin a * cos a * cos a/sin a - 1=
=(sin a*cos^2 a - sin a) / sin a=
=sin a(cos^2 a - 1) / sin a=
=cos^2 a - 1= cos^2 a - (sin^2 a+cos^2 a)=
=cos^2 a -sin^2 a - cos^2 a= -sin^2 a
Otvet: 3)