решите уравнение 6sin^2 x-cosx-5=0. Created by ald2. algebra-ru

решите уравнение 6sin^2 x-cosx-5=0...

ald2 @ald2

July 2022 1 1 Report

решите уравнение
6sin^2 x-cosx-5=0

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sharadi

Verified answer

6(1 - Cos²x) - Cosx - 5 = 0
6 - 6Cos²x - Cosx -5 = 0
6Cos²x + Cosx -1 = 0
D = 25
Cosx = (-1+5)/12= 1/3 б) Cosx = (-1 -5)/12 = -1/2
x = +-arcCos1/3 + 2πk, k ∈Z x = +-2π/3+ 2πn, n ∈Z

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