Solving trigonometric equations with multiple angles

The video tutorial explains how to solve a cosine equation using the zero product property. It begins by introducing the problem and the concept of the zero product property. The tutorial then demonstrates how to solve the equation by identifying when cosine values are zero or negative one using the unit circle. It further explains how to find all possible solutions by adding multiples of π and 2π. The video concludes with the final solutions and a summary of the steps taken.

What property allows us to solve a multiplication problem set to zero by setting each factor to zero?

• Associative Property

• Commutative Property

• Distributive Property

• Zero Product Property

When is the cosine function equal to zero on the unit circle?

• At π/4 and 3π/4

• At 0 and π

• At π/2 and 3π/2

• At π and 2π

At which point on the unit circle is the cosine value equal to -1?

• At 3π/2

• At π/2

• At 0

• At π

How can we find additional solutions for the equation when cosine equals zero?

• By subtracting π from the initial solution

• By adding π to the initial solution

• By subtracting 2π from the initial solution

• By adding 2π to the initial solution

What is the final step in solving for X in a multiple angle problem?

• Multiplying by two

• Dividing by two

• Adding π

• Subtracting π