Solving a trigonometric equation using the zero product property

The video tutorial explains solving trigonometric equations using the zero product property and unit circle. It covers finding solutions for cosine equations, including when cosine equals zero or 1/2, and addresses double angle scenarios. The instructor emphasizes understanding the general strategy for solving these equations, including adding multiples of π or 2π to find all solutions.

What is the initial step in solving a cosine equation using the zero product property?

• Set the equation to zero

• Factor the equation

• Add π to both sides

• Multiply by 2π

At which angles does cosine of 2X equal zero?

• π/2 and 3π/2

• π/4 and 5π/4

• π/3 and 4π/3

• π and 2π

How do you express the general solution for cosine of X equals -1/2?

• X = 3π/2 + πR

• X = π/2 + πR

• X = 2π/3 + 2πR

• X = π/3 + 2πR

What should you do after finding the cosine of an angle when dealing with a double angle?

• Add π

• Multiply by 2

• Subtract π

• Divide by 2

When solving for cosine of X equals zero, what is the next step after identifying the angles?

• Apply the double angle formula

• Add 2π to each angle

• Express the solution in terms of πR

• Multiply each angle by 2