Ответы на вопрос:
1) sin²2x + 2 cos²2x = 7/4 sin²2x + cos²2x + cos²2x = 7/4 1 + cos²2x = 7/4 cos²2x = 7/4 - 1 cos²2x = 3/4 cos 2x = √3/2 или cos 2x = -√3/22x = π/3 + 2πn, n ∈ z | : 2 2x = -π/3 + 2πk, k ∈ z | : 2 2x = 2π/3 + 2πn, n ∈ z | : 2 2x = -2π/3 + 2πk, k ∈ z | : 2 x = π/6 + πn, n ∈ z x = -π/6 + πk, k ∈ z x = π/3 + πn, n ∈ z x = -π/3 + πk, k ∈ z или по формуле: x = (-1)ⁿπ/6 + πn/2, n ∈ z x = (-1)ⁿ π/3 + πn/2, n ∈ z
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