How to solve a trig equation by factoring with tangent and cosine

The video tutorial explains how to solve trigonometric equations by factoring and applying the zero product property. It covers solving for tangent and cosine values using the unit circle, identifying angles that satisfy these conditions, and finding additional solutions through reflection. The tutorial concludes with a summary of solutions and addresses common misconceptions.

What is the first step the teacher takes to solve the equation?

• Simplify using trigonometric identities

• Factor out the common term

• Use the quadratic formula

• Apply the Pythagorean identity

What property is used to solve the equation after factoring?

• Zero Product Property

• Commutative Property

• Associative Property

• Distributive Property

How does the teacher rationalize the denominator when solving for cosine of X?

• By multiplying by sqrt 2 / sqrt 2

• By dividing by 2

• By multiplying by sqrt 2

• By adding 1 to both sides

Which angles are solutions for when tangent of X equals 0?

• 0 and π

• π / 6 and 5π / 6

• π / 2 and 3π / 2

• π / 4 and 7π / 4

What are the final solutions for the full equation?

• π / 2, π, 3π / 2, and 2π

• 0, π / 4, π, and 7π / 4

• π / 4, π / 2, 3π / 4, and π

• π / 6, π / 3, π / 2, and 2π / 3