The monotone increasing interval of the function y = 2cos (π / 3-x / 2) is?

The monotone increasing interval of y = cosx is [2K π - π, 2K π + π]
Corresponding item
2kπ-π≤π/3—x/2≤2kπ+π
2kπ-4/3π≤-x/2≤2kπ+2/3π
2kπ-4/3π≤x≤2kπ+8/3π
Monotone increasing interval {2K π - 4 / 3 π, 2K π + 8 / 3 π}

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