Goal: find all the angles and sides of an SAS triangle using only the Law of Sines.

Explanation

to play around with it in the Geometer's Sketchpad.

Formula

This differs from the formula at the top because 180° needs to be added when the value is negative because tan LaTeX: A=(tan^{-1}(\frac{sinB}{\frac{c}{a}-cosB})+180°) \bmod 180°in any triangle ABC.