∵y=tan(-x-π/6)=-tan（x+π/6）
由kπ-π/2＜x+π/6＜kπ+π/2,(k是整数）
→ kπ-2π/3＜x＜kπ+π/3（k是整数）
∴y=tan(-x-π/6)的单调递减区间是（kπ-2π/3,kπ+π/3)(k是整数）.
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