§ 28: 28.4

28.4 Розв’яжіть рівняння:

1) sin2x = 22; 2x = (–1)ⁿ arcsin22 + πn, n ∈ Z; 2x = (–1)ⁿπ2 + πn, n ∈ Z; x = (–1)ⁿπ8 + πn2, n ∈ Z;

2) sinx7 = 0; x7 = πn, n ∈ Z; x = 7πn, n ∈ Z;

3) sin2x5 = –37; 2x5 = (–1)ⁿarcsin(–32) + πn, n ∈ Z;

2x5 = (–1)ⁿ⁺¹π3 + πn, n ∈ Z; x = (–1)ⁿ⁺¹5π6 + 5πn2, n ∈ Z.