While trigonometry typically involves working with right-angled triangles, one of the more confusing exceptions to this rule is the sine rule. But we're here to help! To do so let's pick up on an example: What is this sorcery?! HOW DO I APPLY TRIGONOMETRY TO THESE ANGLES?! Chillax!
Let's take this a step at a time(general steps are given below, problem-specific solutions in the annotations) :
1. Take a look at the sine rule forumla: 2. We'll need to now figure out which side corresponds to which angle.
3. Substitute the appropriate values into the sine formula, and calculate away!
And that's it! Just 3 simple steps. All it takes is an understanding of the core definition of the sine rule, and some light calculations, and we have our answer.