Evaluate cosine using half angle formula

The video tutorial explains how to find the half angle using the cosine formula. It starts by identifying the half angle and full angle, then applies the cosine formula for half angles. The tutorial covers simplifying fractions and concludes with the final calculation, emphasizing the importance of correctly applying mathematical operations.

What is the full angle U if the half angle U/2 is 22.5 degrees?

• 90 degrees

• 180 degrees

• 45 degrees

• 22.5 degrees

In which quadrant is the angle 22.5 degrees located?

• First quadrant

• Second quadrant

• Third quadrant

• Fourth quadrant

What is the cosine of 45 degrees?

• 1

• 0.5

• sqrt(2)/2

• sqrt(3)/2

How can you eliminate a fraction with 2 in the denominator?

• Divide the numerator by 2

• Multiply the numerator by 2

• Add 2 to the numerator

• Subtract 2 from the numerator

What is the final simplified form of the expression sqrt(2 + sqrt(2))/2?

• sqrt(2) + sqrt(2)

• sqrt(2)/2

• sqrt(2 + sqrt(2))/2

• 2 + sqrt(2)