anyway, to verufy the "identity", note that the right hand side is
Now consider the LHS: write all the funcitons in terms of sines and cosines, simplify and show you get the expression above
TIPS:Oh, and any tips on how I can learn how to do these types of questions and eventually advance in trig proving, they would be really appreciated!
- in general you want to start with one side and try to manipulate it to get the other side. to this end, it is usually best to start with the most complicated side as it gives you more options to change things.
- sometimes you will not be able, or will not "see" how, to manipulate one side to get to the other. in this case, simplify each side one at a time and show that you can bring both expressions to the same thing.
- if you get stuck, changing all functions to be in terms of sines and cosines is a good way to proceed. these are the trig functions students are most familiar with, and so it is easier to spot relevant manipulations if you are using these functions