Find the solutions to a trigonometric equation by factoring

The video tutorial explains solving trigonometric equations using the zero product property. It covers the use of the unit circle to find sine and cosine values, discusses reference angles, and determines the solution set for the equation within the interval from 0 to 2π.

What property is applied when a product of factors is set to zero in trigonometric equations?

• Associative Property

• Commutative Property

• Distributive Property

• Zero Product Property

At which angles is the sine of x equal to zero on the unit circle?

• π/2 and 3π/2

• 0 and π

• π/4 and 3π/4

• π/3 and 5π/3

When is the cosine of an angle equal to 1/2 on the unit circle?

• π/3 and 5π/3

• π/2 and 3π/2

• π/4 and 3π/4

• π/6 and 5π/6

What is the reference angle for cosine being positive in the fourth quadrant?

• π/3

• π/4

• π/6

• π/2

What is the complete solution set for the equation within the interval from 0 to 2π?

• π/3, 2π/3, 4π/3, 5π/3

• 0, π/2, π, 3π/2

• π/6, π/2, 5π/6, 3π/2

• 0, π, π/3, 5π/3