§ 29: 29.6

29.6 Розв’яжіть рівняння:

1) tg(x + π4) = 1; x + π4 = arctg1 + πn, n ∈ Z; x = π4 – π4 + πn, n ∈ Z;

x = πn, n ∈ Z;

2) ctg(4 – 3x) = 2; tg(4 – 3x) = 12; tg(3x – 4) = –12; 3x – 4 = –arctg12 +

+ πn, n ∈ Z; 3x = –arctg12 + 4 + πn, n ∈ Z; x = –13arctg12 + 43 + πn3,

n ∈ Z;

3) 3tg(3x + 1) – 3 = 0; tg(3x + 1) = 33; 3x + 1 = arctg33 + πn,

n ∈ Z; 3x = π6 – 1+ πn, n ∈ Z; x = π18 – 13 + πn3, n ∈ Z.