Reshite pojaluystaatricu

Question

Reshite pojaluystaatricu

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Answer 1

Sinαcosβ - sin²βcos²(α+β) + cosαcosβcos(α+β) - cos²βcos²(α+β) - sinαsinβcos(α+β) + cosαsinβ =

= sin(α + β) + cos²(α+β) - sin²βcos²(α+β) - cos²βcos²(α+β) =

=sin(α + β) + cos²(α+β)sin²β - sin²βcos²(α+β) = sin(α+β)

Ответ: sin(α+β)