Siranin
5 год назад
3tgx = ctgx помогите пж
ОТВЕТЫ
Sunepvel
Jul 1, 2019
Решение
3tgx=ctgx
3tgx = 1/tgx умножим на tgx
3tg²x = 1
tg²x = 1/3
1) tgx = - 1/√3
x = arctg(-1/√3) + πk, k ∈Z
x₁ = - π/6 + πk, k ∈Z
2) tgx = 1/√3
x = arctg(1/√3) + πn, n ∈Z
x₂ = π/6 + πn, n ∈Z
Ответ: x₁ = - π/6 + πk, k ∈Z; x₂ = π/6 + πn, n ∈Z
3tgx=ctgx
3tgx = 1/tgx умножим на tgx
3tg²x = 1
tg²x = 1/3
1) tgx = - 1/√3
x = arctg(-1/√3) + πk, k ∈Z
x₁ = - π/6 + πk, k ∈Z
2) tgx = 1/√3
x = arctg(1/√3) + πn, n ∈Z
x₂ = π/6 + πn, n ∈Z
Ответ: x₁ = - π/6 + πk, k ∈Z; x₂ = π/6 + πn, n ∈Z
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