1- What does it actually mean to verify a trig identity?
To verify a trig function actually means to solve a very "complicated" equation with trig functions in them. the reason in why i say that they are "complicated" is because in all reality when you know how to do them, the problem will already give you an answer and you just have to see if it is true or you are to just simplify it to the best of your abilities.
2- What tricks and tips have you found helpful?
I found the tip of doing the hardest side first to be very helpful because when I finished the hardest I knew that I was able to solve the rest of the equation fairly quick because I already did the most challenging part of the whole equation. As well was the trick of memorizing the trig identities helped me a lot, yes it was a pain to memorize more equations however in the long run it helped me so much especially during the test because I was able to name identities and was able to cut the work load almost in half. As well as being to split fractions into two monomial denominators because it helped me a lot when I got stuck in solving equations that I thought might have not even had an answer.
3- Explain your thought process and steps you take in verifying a trig identity
Well my first step in doing this is to see whether there is an identity that I can switch for one of the Pythagorean theorems, but if there isn't any then I convert everything to sine and cosine. What I then do is try to cross cancel or I keep looking if there are more Pythagorean theorems. If not and they are in a fraction, then I split them into two monomial denominators or I use their reciprocals to cancel out and find Pythagorean theorems (I only use this when I feel like I am stuck on the problem).
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