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PAPONISST
@PAPONISST
July 2022
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Помогите, пожалуйста, по тригонометрии:
1. Преобразуйте в произведение:
1) cos 50° + cos 20°;
2) sin 2£ - sin 10£ (£ - это "альфа")
2. Упростите:
(sin £ + sin 3£)/(cos £ + cos 3£)
Заранее спасибо))
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Answers & Comments
alenka3081992
1)=2cos((50+20)/2)cos((50-20)/2)= 2cos35cos15
2) =2cos((2α+10α)/2)sin((2α-10α)/2)=2cos6αsin(-4α)= -2cos6αsin4α
3) =2sin((α+3α)/2)cos((α-3α)/2)/2cos((α+3α)/2)cos((α-3α)/2)=2sin2αcosα/2cos2αcosα=sin2α/cos2α
5 votes
Thanks 9
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Answers & Comments
2) =2cos((2α+10α)/2)sin((2α-10α)/2)=2cos6αsin(-4α)= -2cos6αsin4α
3) =2sin((α+3α)/2)cos((α-3α)/2)/2cos((α+3α)/2)cos((α-3α)/2)=2sin2αcosα/2cos2αcosα=sin2α/cos2α