Simplify a trig identity by factoring out a trig term

The video tutorial covers the process of factoring expressions, emphasizing the importance of identifying the greatest common factor (GCF) first. An example problem is used to demonstrate factoring with sine squared terms. The tutorial then explores the use of trigonometric identities to simplify expressions, highlighting the challenges that can arise during simplification. The instructor encourages students to experiment with manipulating expressions to achieve simpler forms, even if the initial attempts do not lead to a more simplified result.

What is the first step in factoring an expression according to the teacher?

How does the teacher suggest simplifying the expression after factoring out the GCF?

What trigonometric identity does the teacher mention in relation to secant squared?

What does the teacher conclude about the simplification of sine squared and tangent squared?

Why is it important to manipulate expressions according to the teacher?