Ответы на вопрос:
Sin²2x=3/4 a) sin2x = -√3/2 2x = (-1)^n*arcsin(-√3/2) + πn, n∈z 2x = (-1)^(n+1)*arcsin(√3/2) + πn, n∈z 2x = (-1)^(n+1)*(π/3) + πn, n∈z x1 = (-1)^(n+1)*(π/6) + (πn)/2, n∈z b) sin2x = √3/2 2x = (-1)^(n)*arcsin(√3/2) + πk, n∈z 2x = (-1)^(n)*(π/3) + πk, k∈z x2 = (-1)(n)*(π/6) + (πk)/2, k∈z 2) 3cosx + 5sin x/2 + 1 = 0 3*(1 - 2sin^2(x/2) + 5sin(x/2) + 1 = 0 6sin^(x/2) - 5sin(x/2) - 4 = 0 d = 25 + 4*6*4 = 121 a) sin(x/2) = (5 - 11)/12 sin(x/2) = (-1/2) x/2 =(-1)^(n)* arcsin(-1/2) + πn, n∈z x/2 = (-1)^(n+1)*(π/6) + πn, n∈z x1 = (-1)^(n+1)*(π/3) + πn, n∈z b) sin(x/2) = (5 + 11)/12 sin(x/2) = 1 x/2 = π/2 + 2πk, k∈z x2 = π + 4πk, k∈z
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