§ 28: 28.6

28.6 Розв’яжіть рівняння:

1) sin(8x – π18) = –1; 8x – π18 = –π2 + 2πn, n ∈ Z; 8x = –π2 + π18 + 2πn, n ∈ Z; 8x = –8π18 + 2πn, n ∈ Z; x = –π18 + πn4, n ∈ Z;

2) sin(x5 – 4) = –12; x5 – 4 = (–1)ⁿarcsin(–12) + πn, n ∈ Z;

x5 – 4 = (–1)ⁿ⁺¹π6 + πn, n ∈ Z; x5 = (–1)ⁿ⁺¹π6 + 4 + πn, n ∈ Z;

x = (–1)ⁿ⁺¹5π6 + 20 + 5πn, n ∈ Z;