因为 α 是第四象限角,所以 sinα= -5/13 ,
则 tan(α/2)
=sin(α/2)/cos(α/2)
=2sin(α/2)cos(α/2)/[2(cosα/2)^2]
=sinα/(1+cosα)
=(-5/13)/(1+12/13)
= -1/5 .