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How does Sina / (1 + COSA) turn into Tan (A / 2)?
sinA/(1+cosA)
=2sin(A/2)cos(A/2)/[1+2cos(A/2)^2-1]
=2sin(A/2)cos(A/2)/[2cos(A/2)^2]
=sin(A/2)/cos(A/2)
=tan(A/2)
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