yes. The reason the law of sines can give two triangles is because sin(x) is positive all the way from 0 to 180.
cos(x) becomes negative for x>90, so the formula takes that into account, always leaving only one possible answer.
I mean, think about it geometrically. If you know the lengths of two sides, and the angle between them, there's only one line segment that connects the two endpoints.
For the most part, will a law of cosines always be one triangle? As in one triangle to solve?
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