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 the factoring process?

• Identify the greatest common factor

• Use the quadratic formula

• Apply the distributive property

• Simplify the expression

When factoring the expression 3x - 3, what is the result after factoring out the GCF?

• x - 3

• 3(x - 1)

• x + 3

• 3x - 1

In the expression involving sine squared of X, what is factored out?

• Cosine squared of X

• Tangent squared of X

• Secant squared of X

• Sine squared of X

Which trigonometric identity is used to simplify secant squared of X?

• Secant squared equals tangent squared plus one

• Secant squared equals sine squared plus cosine squared

• Secant squared equals tangent squared

• Secant squared equals one over cosine squared

What is the simplified form of sine squared of X times sine squared of X over cosine squared of X?

• Sine squared of X times tangent squared of X

• Cosine squared of X times sine squared of X

• Sine to the fourth of X over cosine squared of X

• Tangent to the fourth of X