Решить уравнение Cos(Пи/3-x)=0

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вопрос

Cos(π/3 - x) = 0

We know that the cosine function is equal to 0 at π/2 and 3π/2. So, we can set up the equation:

π/3 - x = π/2 + 2kπ or π/3 - x = 3π/2 + 2kπ

Solving the first equation:

x = π/3 - π/2 - 2kπ
x = -π/6 - 2kπ

Solving the second equation:

x = π/3 - 3π/2 - 2kπ
x = -4π/6 - 2kπ
x = -2π/3 - 2kπ

Therefore, the solutions to the equation Cos(π/3 - x) = 0 are x = -π/6 - 2kπ and x = -2π/3 - 2kπ, where k is an integer.