1. When you are asked to verify a trig function that basically means that the terms you are given must in one form or another equal what is on the other side of the equal sign. Using identities to simplify the process with their substitution, you can get the identities to help you get alike terms on both sides of the equal sign to less complicate the verifying.
2. Some tips and tricks I have found helpful are taking a certain problem and splitting it into pieces rather than dealing with the whole problem at once. First I try to figure out if I have to substitute identities that will be similar throughout. If that doesn't seem to be an option then I multiply by the conjugate if I am given fractions. When all else fails I try the substituting identities and kind of play around with what I'm given until I get it to a simple enough route that I know I can solve.
3. When I first see a verifying trig problem I look at the terms given: sin,cos,tan,csc,cot,sec. Then I see if i have any identities that i can use as substitution for the problem. If I notice that the substitution of the identities complicates the number of steps to achieve the verifying then i retrace my steps and rethink my technique. Other options I have are probably dividing, adding, multiplying by the conjugate, or subtracting from one side to the other. I make sure to keep a close eye throughout my steps and make sure that there isn't an identity I can use whether it be a ratio, Pythagorean, or reciprocal. I don't have a very strategic technique other than trying different methods in order to make the verifying simpler. I have found that taking apart the problem helps visualize it clearer and allows you to focus on a particular situation instead of missing a step from dealing with the whole problem.
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