Даю 90 баллов делайте
ctg(2π -α) = -ctg(α)
sin(α- π/2)= -cos(α)
ctg²(2π -α) - sin(α- π/2)* 1/cos(α) = (-ctg(α))² + cos(α) * 1/cos(α) =
= ctg²(α) + 1 = 1/sin²(α)