trigonometry - Does the sine rule ever give you the obtuse angle

Why does the sine rule produce the acute angle, and will it ever produce the correct obtuse one? For example if you have a triangle ABC, where angle CAB is 27 degrees, CB is 7cm, and AB is 12cm. When

Law of Sines - Formula, Proof, Examples

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Solving Oblique Triangles: The Ambiguous Case

Sine and Cosine Rules - An Introduction - Trigonometry

Sine & Cosine Rules CIE IGCSE Maths: Extended Revision Notes

4.02 Sine rule and the ambiguous case, Year 11 Maths

Resourceaholic: New GCSE: Trigonometry Questions

Law of Sines - Math Lessons

How to use law of sines to find the third side of a triangle if