Cos(2П-2x)+3sin(П-x)=2
cos2x + 3sinx = 2
1 - 2sin²x + 3sinx - 2 = 0
2sin²x - 3sinx + 1 = 0
sinx = t
2t² - 3t + 1 = 0
D = 9 - 4*2*1 = 1
t₁ = (3 - 1)/4
t₁ = 1/2
t₂ = (3 + 1)/4
t₂ = 1
1) sinx = 1/2
x = (-1)^n *arcsin(1/2) + πk, k∈Z
x₁ = (-1)^n* (π/6) + πk, k∈Z
2) sinx = 1
x₂ = π/2 + πn, n∈Z
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Так. В урне 8/12 белых и 4/12 или 1/3 красных.
здесь вероятность так
8:12= 66%
4:12= 33%
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Решение
<span>Вычислите tg 2a если 1)tg a = 1/7
tg2a = 2tga/(1 - tg</span>²a)
<span>tg2a = [2*(1/7)] / (1 - 1/49) = 2/7 : 48/49 = 7/24
2)sin a = 3/5 , cos a = -4/5
tga = sina/cosa = 3/5 : (- 4/5) = - 3/4
tg2a = [2*(-3/4)] / (1 + 3/4) = - 3/2 : 7/4 = - 6/7</span>