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natashahera
@natashahera
August 2021
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Помогите пожалуйста.Упростите выражение cos 5a + cos 9a ÷ sin 5a + sin 9a.
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Johnny21
=
=
= ctg7x
2 votes
Thanks 1
natashahera
Спасибо)
salnik1909p5sg3s
1) cos5a+cos9a=2cos((5a-9a)/2)*cos((5a+9a)/2)=2cos(-2a)*cos7a
2) sin5a+sin9a=2sin((5a+9a)/2)*cos((5a-9a)/2)=2sin7a*cos(-2a)=
3) 2cos(-2a)*cos7a/2cos(-2a)*sin7a=cos7a/sin7a=ctg7a
Ответ: ctg7a
1 votes
Thanks 2
natashahera
Спасибо)
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Answers & Comments
2) sin5a+sin9a=2sin((5a+9a)/2)*cos((5a-9a)/2)=2sin7a*cos(-2a)=
3) 2cos(-2a)*cos7a/2cos(-2a)*sin7a=cos7a/sin7a=ctg7a
Ответ: ctg7a