1. When they ask to verify a trig identity, it means to use your knowledge of trig identities to see if your answer matches with the given answer. Since identities are always true, verifying a trig identity means to prove that the identity is always true. Doing this helps prove the statement that identities are proven facts and formulas that are always true.
2. Some tips and tricks that I found very helpful for concept 1 and 5 were to always keep the trig functions as simple as you can when solving them. When it's verifying and there are sin/cos mixed in with tan/csc/sec/cot, then it most likely means that you have to use the identities to verify the identity. Also, remember to pay attention to things like if the denominator is a binomial or monomial, any GCF, or when you can multiply by a conjugate and always look for opportunities to use trig identities.
3. First thing to do is to look at right hand side to see what you are trying to prove and compare to the left hand side. If you see many different trig functions, then that means that identities are going to be used on this problem. From then, go to the left hand side and look at whether it is a binomial or monomial. Also look for any GCF that can be taken out to simplify your problem. From there it is just a matter of trying to get your problem to look like the given.
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