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GerardArthurWay
@GerardArthurWay
November 2021
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Упростите: [tex] \frac{cos \alpha }{cos \frac{ \alpha }{2} -sin \frac{ \alpha }{2} } [/tex]
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sedinalana
Verified answer
(сos²(a/2)-sin²(a/2))/(cos(a/2)-sin(a/2))=
=(cos(a/2)+sin(a/2))(cos(a/2)-sin(a/2))/
(cos(a/2)-sin(a/2))=
=
(cos(a/2)+sin(a/2))
2 votes
Thanks 1
GerardArthurWay
спасибо, а можете объяснить как числитель получили? ну, в самом начале решения
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Answers & Comments
Verified answer
(сos²(a/2)-sin²(a/2))/(cos(a/2)-sin(a/2))==(cos(a/2)+sin(a/2))(cos(a/2)-sin(a/2))/(cos(a/2)-sin(a/2))=
=(cos(a/2)+sin(a/2))