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servicepack21
@servicepack21
August 2022
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Помогите решить уравнение, только очень подробно!
5/(3sinx+4)=2
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nKrynka
Решение
5 / (3sinx + 4) = 2
5 = 2*(3sinx + 4)
3sinx + 4 ≠ 0, sinx ≠ - 4/3
5 = 6sinx + 8
6sinx = - 3
sinx = - 1/2
x = (-1)^n arcsin(- 1/2) + πk, k ∈ Z
x = (-1)^(n+1) arcsin(1/2) + πk, k ∈ Z
x = (-1)^(n + 1) (π/6) + πk, k ∈ Z
5 votes
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Answers & Comments
5 / (3sinx + 4) = 2
5 = 2*(3sinx + 4)
3sinx + 4 ≠ 0, sinx ≠ - 4/3
5 = 6sinx + 8
6sinx = - 3
sinx = - 1/2
x = (-1)^n arcsin(- 1/2) + πk, k ∈ Z
x = (-1)^(n+1) arcsin(1/2) + πk, k ∈ Z
x = (-1)^(n + 1) (π/6) + πk, k ∈ Z