Предмет: Математика, автор: dan4994

cos²x+2=sin²x+3cosx​

Ответы

Автор ответа: koshelev32
1

\cos^{2} x +2= { \sin}^{2} x + 3 x\cos x \\ \cos^{2} x + 2 = 1 - \cos^{2} x + 3\cos x \\ 2cos^{2} x - 3 \cos x + 1 = 0 \\ ( \cos x - 1)(2 \cos x - 1) = 0 \\ \cos x = 1 \: or \: \cos x = \frac{1}{2}

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