How to determine sine of a half angle using the formula

The video tutorial explains how to solve a trigonometric problem involving Theta and its half-angle. It begins with setting up the problem and introducing the necessary formula for sine of Theta divided by 2. The instructor then discusses the constraints and calculates Theta. The cosine of Theta is evaluated, and the expression is simplified to find the final answer. The tutorial emphasizes understanding patterns and equivalence in mathematical expressions.

Explain the process of evaluating 4 sqrt(1 - cos(π / 4) / 2).

What is the final answer when simplifying the expression involving sqrt(2) and how can it be rewritten?