How to evaluate the half angle using the sine function

The video tutorial explains how to find the sine of π/8 using the half angle formula. It begins by introducing the problem and the half angle formula, then proceeds to solve for U by equating it to π/4. The cosine of π/4 is evaluated using the unit circle, and the expression is simplified to find the final solution for the sine of π/8.

What does the half angle formula state about the sine of U/2?

How do you find the value of U when given that U/2 equals π/8?

What is the cosine of π/4, and how is it derived from the unit circle?

Explain the process of simplifying the expression involving radical 2/2.

What is the final answer for the half angle of sine of π/8?