1.已知sinα=(2√5)/5,求tan(α+π)+[sin(5/2π+α)/cos(5/2π-α)] 2.(1)若角α是第二象限角,化简1.已知sinα=(2√5)/5,求tan(α+π)+[sin(5/2π+α)/cos(5/2π-α)]2.(1)若角α是第二象限角,化简tan√[(1/sin^a)-1](2)化简:[√(1
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1.已知sinα=(2√5)/5,求tan(α+π)+[sin(5/2π+α)/cos(5/2π-α)] 2.(1)若角α是第二象限角,化简1.已知sinα=(2√5)/5,求tan(α+π)+[sin(5/2π+α)/cos(5/2π-α)]2.(1)若角α是第二象限角,化简tan√[(1/sin^a)-1](2)化简:[√(1
1.已知sinα=(2√5)/5,求tan(α+π)+[sin(5/2π+α)/cos(5/2π-α)] 2.(1)若角α是第二象限角,化简
1.已知sinα=(2√5)/5,求tan(α+π)+[sin(5/2π+α)/cos(5/2π-α)]
2.(1)若角α是第二象限角,化简tan√[(1/sin^a)-1]
(2)化简:[√(1-2sin130°cos130°)]/[sin130°+√1-sin^2(130°)]
1.已知sinα=(2√5)/5,求tan(α+π)+[sin(5/2π+α)/cos(5/2π-α)] 2.(1)若角α是第二象限角,化简1.已知sinα=(2√5)/5,求tan(α+π)+[sin(5/2π+α)/cos(5/2π-α)]2.(1)若角α是第二象限角,化简tan√[(1/sin^a)-1](2)化简:[√(1
1.
tan(α+π)+[sin(5/2π+α)/cos(5/2π-α)]
=tanα+[sin(α+π/2)/cos(-α+π/2)]
=tanα+[sin(α+π/2)/cos(-α+π/2)]
=tanα+[sin(π/2-α)/cos(π/2-α)]
=tanα+cosα/sinα
=(sinα/cosα)+(cosα/sinα)
=1/(sinαcosα)
cosα=±√(1-4/5)=√5/5,sinαcosα=±2/5
tan(α+π)+[sin(5/2π+α)/cos(5/2π-α)]=±5/2
2.
(1)角α是第二象限角,cosα<0
tanα√[(1/sin^α)-1]
=tanα·√[(1-sin^α)/sin^α]
=tanα·√(cos^α/sin^a)
=tanα·(-cosα/sinα)
=-1
(2)
[√(1-2sin130°cos130°)]/[sin130°+√1-sin^2(130°)]
=[√(1+2sin50°cos50°)]/[sin50°+√cos^2(130°)]
=[√(sin50°+cos50°)^2]/(sin50°+cos50°)
=(sin50°+cos50°)/(sin50°+cos50°)
=1