How to solve for the half angle of sine

The video tutorial explains how to find solutions for the sine of X/2 using the unit circle. It covers identifying angles in different quadrants, understanding when the sine is negative, and finding coterminal angles. The tutorial also discusses calculating infinite solutions by adding multiples of 2π and provides final solutions for the given trigonometric equation.

What is the primary focus when finding the sine of X/2?

• Identifying the values on the unit circle

• Finding the derivative of sine

• Understanding the cosine function

• Calculating the tangent of X

In which quadrants is the Y-coordinate negative?

• First and second

• Second and third

• Third and fourth

• First and fourth

What is the significance of coterminal angles in this context?

• They are irrelevant to the problem

• They help in finding the derivative

• They are used to determine all possible solutions

• They simplify the equation

Which angles are identified as solutions in the unit circle?

• π/6 and π/4

• 4π/3 and 5π/3

• π/2 and π

• 3π/4 and 7π/4

How do you find additional solutions for the trigonometric equation?

• By multiplying by 2

• By adding 2π

• By adding π/3

• By subtracting π

What is the final step in solving for X in the equation?

• Adding π

• Subtracting 2π

• Dividing by 2

• Multiplying by 2

What variable is used to represent the infinite addition of 2π?

• L

• K

• N

• P