Solve an equation using the double angle of sine

The video tutorial covers the application of trigonometric identities, focusing on Pythagorean and angle identities. It explains how to use double angle formulas for sine and cosine, and demonstrates combining trigonometric terms by finding common denominators and factoring. The tutorial also guides solving trigonometric equations using the zero product property and the unit circle, concluding with the final solution set.

What should you look for when you see a trigonometric function squared?

• Differentiate the function

• Apply the Pythagorean identities

• Convert to exponential form

• Use the quadratic formula

What is the first step in simplifying trigonometric expressions?

• Convert to radians

• Apply the chain rule

• Write in terms of sines and cosines

• Find the derivative

How do you handle expressions with different denominators?

• Add them directly

• Multiply to get common denominators

• Subtract the smaller from the larger

• Divide by the greatest common factor

What property is used to solve the equation after factoring?

• Associative property

• Distributive property

• Zero product property

• Commutative property

What is the cosine of X equal to when simplified?

• ± sqrt 3 / 2

• ± sqrt 2 / 2

• ± 1 / 2

• ± 1

At which angles is tangent of X equal to zero?

• π/3 and 2π/3

• π/4 and 3π/4

• 0 and π

• π/2 and 3π/2

What are the angles in the solution set derived from the unit circle?

• π/6, 5π/6, 7π/6

• π/3, 2π/3, 4π/3

• 0, π/4, 3π/4, π, 5π/4, 7π/4

• π/2, 3π/2, 5π/2