Question

2cos^2x+√3 cos x=0
решите пожалуйста

Answer 1

2cos²x + √3cosx = 0
cosx (2cosx + √3) = 0

cosx = 0
2cosx = -√3

cosx = 0
cosx = -√3/2

x = π/2 + πn
x = 5π/6 + 2πn
x = -5π/6 + 2πn

Ответ: π/2 + πn; 5π/6 + 2πn; -5π/6 + 2πn; n ∈ Z