Understanding compound angle formulas can be challenging, with many finding it easier to memorize them rather than derive them during exams. Some participants suggest focusing on a few fundamental identities and deriving others from them, using visual aids like graphs to enhance comprehension. There is a mention of various proofs for these formulas, including those involving Euler's formula and geometric interpretations with triangles, though some find these proofs arbitrary. The discussion highlights the struggle with memorization and the desire for clearer, more intuitive explanations. Ultimately, participants agree that memorization may be necessary, but understanding the derivations can aid in retention.