As for Law of Sines and Law of Cosines, their formulas are useful for variables in triangles with(out) right angles. Usually, Law of Sines is used for problems with given two angles and one side and Law of Cosines with a given two side lengths and an angle. In class, through elimination and conclusion, we figured out how the equations for the Laws came to be. Such as with the Mount Everest problem, we had to take apart the triangle to figure out how our previous trigonometric formulas could fit with the given and the variable. Which got us:
Law of Sine: SinB/b = SinA/a = SinC/c Law of Cosine: c^2=a^2+b^2-2abCos(theta) |