Предмет: Алгебра, автор: Varyamus

cos x + cos 3x = cos2x

Помогите решить, пожалуйста

Ответы

Автор ответа: cristinafazlyeva761
1

Ответ:

cos2x-cosx=cos3x

cos2x = cos3x + cosx

cos2x = 2cos2x * cosx

cos2x(cosx - 1/2) = 0

cos2x = 0

2x = pi/2 + k*pi

x = pi/4 + k*pi/2

cosx = 1/2

x = +-pi/3 + 2 k*pi

Объяснение:

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