Для нахождения косинуса угла α, используем тригонометрическое тождество:

tg^2(α) = 1 - cos^2(α)

11/60 = sin(α) / cos(α)

cos(α) = sin(α) / (11/60)

sin^2(α) = 1 - cos^2(α)

sin^2(α) = 1 - (sin(α) / (11/60))^2

sin^2(α) = 1 - (sin(α))^2 * (60/11)^2

sin^2(α) = 1 - sin^2(α) * 3600 / 121

121 sin^2(α) = 121 - 3600 sin^2(α)

482 * sin^2(α) = 121

sin^2(α) = 121 / 482

sin^2(α) = 0.25104

sin(α) ≈ 0.5

cos(α) = sin(α) / (11/60) ≈ 0.5 / (11/60) = 0.5 * 60 / 11 = 30 / 11 ≈ 2.72727272727