Solving for sine of a multiple angle

The video tutorial explains how to solve a sine equation by dividing, simplifying, and using the unit circle to find angle solutions. It covers the process of square rooting and rationalizing the equation, identifying solutions on the unit circle, and understanding the repetition of solutions. The tutorial concludes with deriving the final answer by dividing and simplifying the equation further.

What is the first step in solving the equation 2sin²(2X) = 1?

• Subtract 1 from both sides

• Multiply both sides by 2

• Divide both sides by 2

• Add 1 to both sides

After simplifying the equation, what is the value of sin(2X)?

• ±√2/2

• ±1

• ±1/2

• ±√2

Which angles on the unit circle correspond to sin(θ) = √2/2?

• π/4 and 3π/4

• π/6 and 5π/6

• π/2 and 3π/2

• π/3 and 2π/3

How do you find additional solutions for the equation 2X = 3π/4 + πM?

• Add π/2 repeatedly

• Add π/4 repeatedly

• Add 2π repeatedly

• Add π repeatedly

What is the final expression for X after solving the equation?

• X = π/3 + π/6

• X = π/6 + π/3

• X = π/8 + π/4

• X = π/4 + π/2