则对于区间[-π/2+kπ,π/2+kπ]
tan(kπ+π/3)=√3
则kπ-π/2≤x+π/4≤kπ+π/3
即kπ-3π/4≤x≤kπ+π/12
即不等式的解集为[kπ-3π/4,kπ+π/12],k∈Z