Algebra 2 - How to Solve a Trigonometric Equation Using the Double Angle Formula

The video tutorial covers solving trigonometric equations using the double angle formula. It begins with an introduction to the formula and its application. The teacher demonstrates solving an equation by moving terms to one side, factoring, and applying the zero product property. The solutions are found using the unit circle, focusing on when sine and cosine values meet specific conditions. The tutorial concludes with the final answers, emphasizing the importance of understanding the unit circle and trigonometric identities.

What is the double angle formula used in the initial equation?

• 2 cosine of X sine of X

• cosine squared of X

• sine squared of X

• 2 sine of X cosine of X

What is the next step after rearranging the equation to have terms on the same side?

• Simplify using trigonometric identities

• Use the quadratic formula

• Factor out the common term

• Apply the Pythagorean identity

Which property is applied after factoring the equation?

• Distributive property

• Associative property

• Zero product property

• Commutative property

At which angle is cosine equal to 1 on the unit circle?

• 0

• π

• 3π/2

• π/2

Between 0 and 2π, at which angles is sine equal to 0?

• π/2 and 3π/2

• 0 and π

• π/4 and 3π/4

• π/3 and 2π/3