When first processing identities, I first find out which side is more complicated. This is because I do not want to make the easier side more complicated.
I then find out which identity to start with.
With the identity, I would do normal equation and function formulas. I would start using identities, finding the common denominator when needed, multiplying, adding, and subtracting fractions, and getting a final answer in the end.
The four identities are Quotient, Reciprocal, Even-Odd, and Pythagorean Identity.
If they are not there , I look for the next easiest identity to notice. This is the Reciprocal identity
I first look to see if the identity is a Even-Odd or Pythagorean identity. This is because they are the easiest identities to notice in an equation/function.
I would lastly start with the quotient identity if the other three didn't work. With this. I would start doing the identity to determine that it is true.
