sina>0, tana<0, a lies in the 2nd quadrant, sina>0.
tana=-1/2, sina=1/sqrt5.
cscb=-6/5, b lies in the 4th quadrant, b/2 lies in the 2nd quadrant, tanb<0, tan(b/2)<0.
tanb=-5/sqrt11=2t/(1-t^2) (t=tan(b/2))
t=(sqrt11-6)/5.
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