y=cos(π/4-2x)=cos(2x-π/4) ∵y=cosx在[2kπ,(2k+1)π]上为减函数 ∴2kπ≤2x-π/4≤(2k+1)π ∴π/8+kπ≤x≤5π/8+kπ ∴y=cos(π/4-2x)的单调递减区间为[π/8+kπ,5π/8+kπ],k∈Z