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.

In which quadrant is the angle U located based on the given constraint?

• Fourth Quadrant

• Third Quadrant

• Second Quadrant

• First Quadrant

What is the value of the tangent of U?

• -8/5

• 8/5

• -5/8

• 5/8

How is the hypotenuse calculated in this scenario?

• Using the tangent function

• Using the Pythagorean theorem

• Using the cosine function

• Using the sine function

What is the expression for the cosine of U?

• 8 / sqrt 89

• 5 / sqrt 89

• sqrt 89 / 5

• sqrt 89 / 8

What is the final simplified form of the cosine of U divided by two?

• 89 + 8 sqrt 89 / 178

• 8 + sqrt 89 / 178

• 8 sqrt 89 + 89 / 178

• sqrt 89 + 8 / 178