(10 sin 15) / (sin 15) = 10
6x≥-18
x≥-3
x∈[-3;∞)
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⁴√(11-√40) * ⁴√(√40 +11) = ⁴√(11² -(√40)²) = ⁴√(121-40) = ⁴√81 =
= ⁴√3⁴ = 3
Sin⁴xCos²x - Cos⁴xSin²x = Cos2x
Sin²xCos²x(Sin²x - Cos²x) - Cos2x = 0
Sin²xCos²x * (- Cos2x) - Cos2x = 0
Cos2x(Sin²xCos²x + 1) = 0
Cos2x = 0 Sin²xCos²x + 1 = 0
2x = π/2 + πn , n ∈ z 1/4Sin²2x + 1 = 0
x = π/4 + πn/2 , n ∈ z Sin²2x = - 4 - решений нет
Ответ : π/4 + πn/2 , n ∈ z