[-sin1,sin1]
2sin(a/2)cos(a/2)/(1+2cos^2(a/2)-1)=tan(a/2)=3
cosa-sina=2cos^2(a/2)-1-2sin(a/2)cos(a/2)
=2cos^2(a/2)/(sin^2(a/2)+cos^2(a/2))-1-2sin(a/2)cos(a/2)/(sin^2(a/2)+cos^2(a/2))
=2/(tan^2(a/2)+1)-1-2tan(a/2)/(tan^2(a/2)+1)
=2/(3^2+1)-1-2*3/(3^2+1)
=1/5-1-3/5
=-7/5