when solving for measures of angles using the law of sines, it is sometimes possible to have an ambiguous case. why does the ambiguous case arise? when might the ambiguous case occur?
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lol well after a quick search
might help :)
Woo wiki to the rescue haha...other sites were like...what on earth are they talking about
If you have a triangle like the first one, and want to discover the value of the angle c, you have an ambiguous case. Because you don't defined the value of b and the angle a is < 90º. So, you have two possibilities: that c is <90º too or c > 90º. That's a ambigous case: when you have 2 sides and only an angle, opposite to one of that sides.
@zairhenrique @Luigi0210 @johnweldon1993
thank you all so much! i had to go wash the dishes right after i posted this so that's why i didnt reply. this is plenty of information, thank you all very much