如果实数x、y满足|tanx|+|tany|>|tanx+tany|,且y∈(π,3π2),则|tanx-tany|等于
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如果实数x、y满足|tanx|+|tany|>|tanx+tany|,且y∈(π,
)
3π |
2 |
![如果实数x、y满足|tanx|+|tany|>|tanx+tany|,且y∈(π,3π2),则|tanx-tany|等于](/uploads/image/z/15103441-1-1.jpg?t=%E5%A6%82%E6%9E%9C%E5%AE%9E%E6%95%B0x%E3%80%81y%E6%BB%A1%E8%B6%B3%7Ctanx%7C%2B%7Ctany%7C%EF%BC%9E%7Ctanx%2Btany%7C%EF%BC%8C%E4%B8%94y%E2%88%88%28%CF%80%EF%BC%8C3%CF%802%29%EF%BC%8C%E5%88%99%7Ctanx-tany%7C%E7%AD%89%E4%BA%8E)
∵实数x、y满足|tanx|+|tany|>|tanx+tany|
∴tanx与tany异号
又∵y∈(π,
3π
2)
∴tany>0,tanx<0
则|tanx-tany|=tany-tanx
故选B
∴tanx与tany异号
又∵y∈(π,
3π
2)
∴tany>0,tanx<0
则|tanx-tany|=tany-tanx
故选B
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