The video tutorial explains how to solve quadratic equations by factoring and applying the zero product property. It introduces the concept of the unit circle in trigonometry, emphasizing the importance of understanding its constraints, such as the maximum distance of 1. The tutorial also discusses the domain and range limitations in trigonometry, particularly when finding solutions for cosine values. The instructor highlights the importance of knowing key points on the unit circle and demonstrates how to find solutions for cosine equations using these points.

What is the first step in solving a quadratic equation using the zero product property?

• Combine like terms

• Factor the equation

• Use inverse operations

• Apply the quadratic formula

When applying the zero product property to trigonometric functions, what is a crucial tool for finding solutions?

• Pythagorean theorem

• Law of cosines

• Unit circle

• Sine rule

Why can't we find an angle for cosine when the value is greater than -1?

• It is not a real number

• It is not a valid trigonometric function

• It is outside the range of the unit circle

• It is undefined in mathematics

Which of the following is a valid solution for cosine of X equals zero?

• π

• 2π

• π / 2

• π / 4

What is the distance between the angles where cosine of X equals zero?

• π / 2

• π / 4

• π

• 2π