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

4.10 M) The Sine Rule – Finding an Angle – Trigonometry – AQA GCSE

further_trigonometry

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

Content - The sine and cosine rules

Is there a difference when using sin, cos and tan with a 90 degree

Sine Rule - GCSE Maths - Steps, Examples & Worksheet

4.02 Sine rule and the ambiguous case, Year 11 Maths

Laws of Cosines & Sines

Trigonometry 3: Sine and Cosine Rule

3.0: Obtuse Angles - Mathematics LibreTexts

More trigonometry rules, Sine & Cosine Rule

Law of Sines, Definition, Formula & Examples - Lesson