(2cosa+sina)^2-2sin2a-1 помогиииите. Created by agrbottom. algebra-ru

(2cosa+sina)^2-2sin2a-1 помогиииите...

agrbottom @agrbottom

September 2021 2 14 Report

(2cosa+sina)^2-2sin2a-1 помогиииите

irinan2014

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Всё решаем по формулам.

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oganesbagoyan

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* * * (a+b)² =a²+2ab+b² ; sin²α+cos²α =1 ; sin2α =2sinαcosα * * *
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(2cosα +sinα)² -2sin2α -1 =4cos²α +4sinαcosα +sin²α -2sin2α -1 =
3cos²α +(cos²α+sin²α) -1 +(4sinαcosα -2sin2α) =
3cos²α +1 -1 +(2sin2α -2sin2α) =3cos²α.

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