1)Sin^2 2x+2cos^2 2x=7/4 2) вычислить 256^ log осн4 3-0,25 log осн2 3• 3^1/log осн4 9

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 = -√3/2 2x = 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)ⁿπ/3 + πn/2, n ∈ Z