√2sinx - 1 = 0,
√2sinx = 1,
sinx = 1/√2,
sinx = √2/2,
x = (-1)ⁿ · arcsin(√2/2) + πn, n ∈ Z,
x = (-1)ⁿ · π/4 + πn, n ∈ Z.
ответ: (-1)ⁿ · π/4 + πn, n ∈ Z.
√2sinx - 1 = 0,
√2sinx = 1,
sinx = 1/√2,
sinx = √2/2,
x = (-1)ⁿ · arcsin(√2/2) + πn, n ∈ Z,
x = (-1)ⁿ · π/4 + πn, n ∈ Z.
ответ: (-1)ⁿ · π/4 + πn, n ∈ Z.