Тригонометрия 2cos(α-2π)-sin(α-π/2) cos(9π/2)+2sin(2π-α) - вопрос №22292224975966 от antipovakamila 12.02.2022 02:59

Question

Математика: Тригонометрия 2cos(α-2π)-sin(α-π/2) cos(9π/2)+2sin(2π-α)

antipovakamila · Answer

Cos(α+2π)=cosα,sin(αα α-π/2)=-sin(π/2 -α) = -cosα.2cosα-(-cosα)=3cosα -  это числитель.cos(9π/2 -α) =cos(4π + π/2 -α)= cos(π/2  -α) = sinα.sin(2π-α) = sin(-α) = -sinα,sinα+2(-sinα) = -sinα -это знаменатель.3cosα / (-sinα) = -3 ctgα....