Ответы на вопрос:
1) sin x = -1/2; x = (-1)^n*(-π/6)+π*n 2) cos(3x-π/4) = √2/2 3x-π/4=π/4+2π*k; x1=π/6+2π/3*k 3x-π/4=-π/4+2π*n; x2=2π/3*n 3) tg(2x/3)=1/√3 2x/3=π/6+π*k; x=π/4+π/2*k 4) ctg(x+π/6)=1/3; x=-π/6+arcctg(1/3)+π*k 5) 2sin^2 x - 9cos x + 3 = 0 2 - 2cos^2 x - 9cos x + 3 = 0 2cos^2 x + 9cos x - 5 = 0 (2cos x - 1)(cos x + 5) = 0 cos x = -5; решений нет cos x = 1/2; x = ±π/3 + 2π*k 6) (1 + cos x)(tg x - √3) = 0 cos x = -1; x1 = π + 2π*k tg x = √3; x = π/3 + π*n
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