Помогите ПЖ 300б даю Cos (Pi(4x-9))/4 =√2/2

Question

Помогите ПЖ 300б даю
Cos (Pi(4x-9))/4 =√2/2

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Answer 1

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