How to solve a trigonometric equation by using factoring

The video tutorial explains solving equations with constraints, focusing on X^3 = X and trigonometric equations. It covers factoring techniques and finding solutions using the unit circle, emphasizing the importance of constraints in limiting solutions.

What is the first step in solving the equation X^3 = X?

• Add X to both sides

• Get all X terms on one side

• Divide both sides by X

• Multiply both sides by X

When factoring the expression X^3 - X, what common factor is taken out?

• X^2

• 1

• X

• X^3

In the equation cosine cubed of X minus cosine of X equals zero, what is the first step to solve it?

• Divide both sides by cosine of X

• Factor out cosine of X

• Multiply both sides by cosine of X

• Add cosine of X to both sides

What are the possible values of cosine of X when cosine squared of X equals 1?

• 1 and 2

• 0 and 1

• 1 and -1

• 0 and -1

On the unit circle, at which angles is the cosine of X equal to zero?

• π/3 and 2π/3

• π/4 and 3π/4

• π/2 and 3π/2

• 0 and π