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M1lky
@M1lky
August 2022
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Cos (Pi(4x-9))/4 =√2/2
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nKrynka
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Решение
Cos (Pi(4x-9))/4 =√2/2
(Pi(4x-9))/4 = (+ -)arccos(√2/2) + 2πk, k ∈ Z
πx - 9π/4 = (+ -)* (π/4)
+ 2πk, k ∈ Z
πx = (+ -)* (π/4) + 9π/4
+ 2πk, k ∈ Z
x = (+ -)* (1/4) + 9/4
+ 2k, k ∈ Z
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Verified answer
РешениеCos (Pi(4x-9))/4 =√2/2
(Pi(4x-9))/4 = (+ -)arccos(√2/2) + 2πk, k ∈ Z
πx - 9π/4 = (+ -)* (π/4) + 2πk, k ∈ Z
πx = (+ -)* (π/4) + 9π/4 + 2πk, k ∈ Z
x = (+ -)* (1/4) + 9/4 + 2k, k ∈ Z