Did I do this right?
just change sin^2 x + cos^2 x to 1 on the left hand side and then in the very next line you can replace the left hand side with csc(x)sec(x)
many problems you can mess with one side and get the other. when that's possible, do that. there are other times in which you can't get that, or you get stuck. in which case you'd leave that side, and start working on the other in order to bring the other side to something similar to where you left off the previous side
- you want to start messing with the more complicated side. it gives you more options to change things.
- it is USUALLY a good idea to change everything to sines and cosines. students are most familiar with those trig functions, and can therefore "see" connections easier