Evaluate the half angle for cosine of 22 5 degrees

The video tutorial covers the cosine half-angle formula, emphasizing the importance of not using plus or minus signs unless considering the quadrant of the angle. It explains how to determine the quadrant and apply the formula correctly. The tutorial also addresses handling complex fractions and radicals, using the distributive property and common denominators to simplify expressions.

What is the correct form of the half-angle formula for cosine?

• cosine of Theta divided by 2

• 1 plus or minus cosine of Theta divided by 2

• 1 + cosine of Theta divided by 2

• 1 - cosine of Theta divided by 2

In which quadrant is the angle 22.5 degrees located?

• Fourth quadrant

• Third quadrant

• First quadrant

• Second quadrant

If Theta/2 is 22.5 degrees, what is the value of Theta?

• 22.5 degrees

• 45 degrees

• 11.25 degrees

• 90 degrees

What is the common denominator used to simplify the complex fraction in the example?

• 3

• 1

• 4

• 2

When simplifying a complex fraction, what property is applied to distribute terms?

• Associative property

• Distributive property

• Identity property

• Commutative property