Автор - sergeirodyaonychev

Помогите решить уравнение 2 cos2 x-cos x-1=0

Ответ

Автор - BronyPonyMew

2 { cos(x) }^{2}  -  cos(x)  - 1 = 0 \  cos(x)  = t \  - 1 leqslant t leqslant 1 \ 2 {t}^{2}  - t - 1 = 0 \ t(1) = 1 \ t(2) =  -   frac{1}{2}  \  cos(x)  = 1 \ x = 2pi n \  cos(x)  = -   frac{1}{2}  \ x =  frac{2pi}{3}  + 2pi k \ x =  frac{4pi}{3}  + 2pi m

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