(文科)已知α∈(π2,π),sinα=35,则tan(α+π4)=______.-数学

题目简介

(文科)已知α∈(π2,π),sinα=35,则tan(α+π4)=______.-数学

题目详情

(文科)已知α∈(
π
2
,π),sinα=
3
5
,则tan(α+
π
4
)
=______.
题型:填空题难度:中档来源:无为县模拟

答案

∵α∈(class="stub"π
2
,π),sinα=class="stub"3
5
,∴cosα=-class="stub"4
5
,∴tanα=-class="stub"3
4

∴tan(α+class="stub"π
4
)
=class="stub"tanα+1
1-tanα
=class="stub"1
7

故答案为:class="stub"1
7

更多内容推荐