How to evaluate for the cosine of an angle using the half angle formula

The video tutorial explains how to determine the angle U within specific constraints, using a central angle in the 4th quadrant. It covers calculating the tangent and hypotenuse of a triangle, and finding the cosine of angle U. The process includes rationalizing the denominator to simplify the expression. The tutorial emphasizes understanding trigonometric relationships and applying them to solve problems.

What is the range of the angle U as discussed in the text?

Explain how the tangent of angle U is represented in the context of the triangle.

What is the relationship between cosine and the hypotenuse in the context of the problem?

How do you rationalize the denominator in the expression for cosine of angle U?

What is the final solution for the cosine of angle U as derived in the text?