How do you simplify a trigonometric function by factoring

The video tutorial explains a common confusion in solving problems by factoring quadratic expressions. It begins with an introduction to the problem, followed by a detailed explanation of the factoring process using a quadratic example. The tutorial emphasizes the importance of remembering factoring techniques and demonstrates the substitution of variables in the expression, specifically replacing X with cosine of X.

What new insight or understanding did you gain from this video?