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arseniisuper97
@arseniisuper97
July 2022
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1-sina*cosa/tga Упростить выражение, помогите пожалуйста, срочно!!!
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Gerren
1-sina*cosa/tga=1-sina*cosa/sina/cosa=1-cosa^2=sina^2
6 votes
Thanks 4
Lesben
1-sinα.cosα/tgα=1-sinαcosα/(sinα/cosα)=1-cosαcosα=1-cos²α=sin²α
(tgα=sinα/cosα, sin²α+cos²α=1)
1-sinαcosα/tgα=1-sinαcosαctgα=1-sinαcosαcosα/sinα=1-cos²α=sin²α
3 votes
Thanks 1
Lesben
ošibka, pravilno ect 1-cosacosa=1-cosˇ2 a=sinˇ2 a
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Answers & Comments
(tgα=sinα/cosα, sin²α+cos²α=1)
1-sinαcosα/tgα=1-sinαcosαctgα=1-sinαcosαcosα/sinα=1-cos²α=sin²α