设关于x的方程sinx+
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cosx+a=0在(0,2π)内有相异二解α、β.
(1)求α的取值范围.(2)求tan(α+β)的值.
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在△ABC中,sinA+cosA=
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,AC=2,AB=3,求tanA的值和△ABC的面积.
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已知sin(
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+2α)•sin(
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-2α)=
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,α∈(
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,
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),求2sin
2α+tanα-cotα-1的值.
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已知sin(α+β)=-
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023214059458663603/SYS201310232140594586636014_ST/0.png)
,cos(α-β)=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023214059458663603/SYS201310232140594586636014_ST/1.png)
,且
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023214059458663603/SYS201310232140594586636014_ST/2.png)
<β<α<
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,求sin2α.
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下列命题正确的有
.
①若-
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<α<β<
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023214059458663603/SYS201310232140594586636013_ST/1.png)
,则α-β范围为(-π,π).②若α在第一象限,则
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023214059458663603/SYS201310232140594586636013_ST/2.png)
在一、三象限.③若sinθ=
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,
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,则m∈(3,9.)④
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023214059458663603/SYS201310232140594586636013_ST/5.png)
=
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,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023214059458663603/SYS201310232140594586636013_ST/7.png)
=
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,则θ在三象限.
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已知sinαcosβ=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131023214059458663603/SYS201310232140594586636012_ST/0.png)
,则cosαsinβ的取值范围是
.
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