Given the triangle shown here, the first steps in the proof of the law of sines are:
ASet sinA = b/k and sinB = k/a and solve for k in both equations.
BSet sinA = k/b and sinB = a/k and solve for k in both equations.
CSet sinA = -k/b and sinB = -k/a and solve for k in both equations.
DSet sinA = k/b and sinB = k/a and solve for k in both equation.
ASet sinA = b/k and sinB = k/a and solve for k in both equations.
BSet sinA = k/b and sinB = a/k and solve for k in both equations.
CSet sinA = -k/b and sinB = -k/a and solve for k in both equations.
DSet sinA = k/b and sinB = k/a and solve for k in both equation.