Ответ:
1)
x+π/3=±arccos 1/2 + 2πk, k€Z
x=-π/3 ± π/3 + 2πk, k€Z
x=πk, k€Z
Объяснение:
2)
2cos²x - 3cosx + 1 = 0
cosx = t
2t² - 3t + 1 = 0
D = 9 - 8 = 1
t₁ = (3 - 1)/4 = 1/2
t₂ = (3 + 1)/4 = 1
1) cosx = 1/2
x = ± arccos(1/2) + 2πn, n ∈ Z
x = ± π/3 + 2πn, n ∈Z
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Ответ:
1)
x+π/3=±arccos 1/2 + 2πk, k€Z
x=-π/3 ± π/3 + 2πk, k€Z
Ответ:
x=πk, k€Z
Объяснение:
2)
2cos²x - 3cosx + 1 = 0
cosx = t
2t² - 3t + 1 = 0
D = 9 - 8 = 1
t₁ = (3 - 1)/4 = 1/2
t₂ = (3 + 1)/4 = 1
1) cosx = 1/2
x = ± arccos(1/2) + 2πn, n ∈ Z
x = ± π/3 + 2πn, n ∈Z