I feel like my approach to mathematics is strange, sometimes I just think about memorizing something when I see something new. I feel like memorizing something is the fastest way to learn because once you memorize it the logic seems to reveal itself. I'm trying to learn trigonometric identities now and I am having a difficult time solving them and provide proofs. I have no problem memorizing the identities but solving them is quite difficult for me. So I was wondering how you people here on PF approach new math concepts and how you might learn them. Maybe there is something I can try that I am not doing.