1. What it means is that when we are given a problem we try to use all three forms of identities to solve one side to see if it matches the other untouchable side. In other words we are verifying to see it we can get the same answer.
2. For me to solve them more easily, I try to get them to equal sine or cosine. I mostly try to see if any part of the problem can be made into a ratio or reciprocal identity and if they can be multiplied. If they are then it would be even better if they are written as fractions so I can cancel things out.
3. The first thing I try to see is if the problem is a simplifying or verifying and then I can try to use the conjugate if it's needed. It doesn't matter if there is because I can substitute in an identity or if it's a fraction combine them. If the problem comes out to have a monomial then it's even better because I can separate them and hopefully it turns to an identity.
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