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TETRIS24
@TETRIS24
October 2021
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помогите с алгеброй
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oganesbagoyan
Verified answer
1
) =sin(α -β) - cosα*(-sinβ) = (sinαcosβ -cosα*sinβ) +cosα*sinβ =
sinαcosβ
.
2)
= (-cosα)² - (sinα)² =cos²α - sin²α =
cos2α.
3)
=2sinαcosβ +(cosαcosβ -sinαsinβ) =cosαcosβ+ sinαsinβ =
cos(α - β)
.
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Verified answer
1) =sin(α -β) - cosα*(-sinβ) = (sinαcosβ -cosα*sinβ) +cosα*sinβ = sinαcosβ .2) = (-cosα)² - (sinα)² =cos²α - sin²α = cos2α.
3) =2sinαcosβ +(cosαcosβ -sinαsinβ) =cosαcosβ+ sinαsinβ =cos(α - β) .