Hello. I have yet another question involving Geometry. by the way, thank you so much to the person who answered my "degrees VS. Radians" question. This quetion involves the law of Sines in Trigonometry. When solving a an oblique triangle using the law of sines, do I always have to make sure the triangle is not the "ambiguous case"? Do I always have to do the work (if a < b and a > b Sin A then there are to answers) in order to fine out if my triangle has just 1 answer or not? Is there a clear method to use to make sure the ambiguous case is not "sneaking up on me", or should I always check my answer using the method above? Thanks in advance!
I am not sure about the method you are referring to - I don't have the time to power through it right now. But you do always need to be conscious of the 2 possible answers. You need have a good reason for accepting one and rejecting the other.
Perhaps you would like to give as a specific question and then we could discuss it?
Actually this is a very common error - it is easy to forget to check this.