Question

Помогите решить!!!! Срочно

Answer 1

Ctg³x + Ctg²x + 2Ctgx + 2 = 0

(Ctg³x + Ctg²x) + (2Ctgx + 2) = 0

Ctg²x(Ctgx + 1) + 2(Ctgx + 1) = 0

(Ctgx + 1)(Ctg²x + 2) = 0

Ctg²x + 2 ≠ 0     ⇒     Ctgx + 1 = 0

Ctgx = - 1

$\boxed{x=\frac{3\pi }{4} +\pi n , n \in Z}$