Answer
One has to identify whether the identity is a reciprocal identity, quotient identity, Pythagorean identity or an even-odd identity.
Work Step by Step
We know a person feels elated and derives great satisfaction when he is able to solve a trigonometric identity. It is because there are virtually thousands of relationships among the six identities and the relationship can be established in more than one way.
So, the relationships can be rated as simple to very complex ones in nature and thus successful verification of identities leaves a great amount of satisfaction for the solver. So, the process of solving the identities is very similar to solving crossword puzzles and trying quizzes.