Given a triangle ABC, with known sides a=BC and b=AC, and known angle A, we wish to find angle B.
This is a typical application of the Sine Rule (Law of Sines).
In some circumstances, the sine rule gives an ambiguous result: with two possible solutions for angle B.
I am trying to find the simplest way of identifying whether or not the sine rule would give a unique solution.
Is it true to say that the sine rule will give a unique solution to this problem iff a > b?