若tanαtanβ+tanα+tanβ=1(α+β≠+kπ,k∈Z),则tan(α+β)=__________.

答案

解析：

由tanαtanβ+tanα+tanβ=1,得=1,即tan(α+β)=1.

答案：

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若tanαtanβ+tanα+tanβ=1(α+β≠+kπ,k∈Z),则tan(α+β)=__________.

答案

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