Question

ПОМОГИТЕ!!!! 4ctg^2 x/2=1​

Answer 1

Ответ:

4ctg²x/2=1.

ctg²x/2 = 1/4.

ctg x/2 = ± 1/2. ОДЗ:

x/2 ≠ pik, k є Z

x ≠ 2pik, k є Z

ctg x/2 = 1/2. ctg x/2 = - 1/2.

x/2 = arcctg 1/2 + pin, n є Z x/2 = arcctg(-1/2) + pin, n є Z

x = 2arcctg 1/2 + 2pin, n є Z

x = 2arcctg(-1/2)+ 2pin, n є Z x = pi - 2arcctg 1/2 + 2pin, n є Z