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lennon17
@lennon17
August 2022
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решите уравнение! [tex]cos* \frac{ \pi (x+5)}{6} =- \frac{1}{2} [/tex]
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nKrynka
Решение
cos(πx/6 + 5/6π) = - 1/2
πx/6 + 5/6π = (+ -) arccos(- 1/2) + 2πk, k ∈ Z
πx/6 + (5/6)π = (+ -) (2π/3) + 2
πk, k ∈ Z
πx/6 = (+ -) (2π/3) - (5/6)π + 2πk, k ∈ Z
πx = (+ -) (4π) - 5π + 12
πk, k ∈ Z
x = (+ -) (4) - 5π + 12
k, k ∈ Z
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Answers & Comments
cos(πx/6 + 5/6π) = - 1/2
πx/6 + 5/6π = (+ -) arccos(- 1/2) + 2πk, k ∈ Z
πx/6 + (5/6)π = (+ -) (2π/3) + 2πk, k ∈ Z
πx/6 = (+ -) (2π/3) - (5/6)π + 2πk, k ∈ Z
πx = (+ -) (4π) - 5π + 12πk, k ∈ Z
x = (+ -) (4) - 5π + 12k, k ∈ Z