Evaluate the half angle formula for cosine

The video tutorial explains the cosine half-angle formula, focusing on determining the value of U when 75 degrees equals U/2. It discusses the importance of quadrant determination for sign selection and uses reference angles to simplify expressions. The tutorial concludes with a final simplification of the expression.

What is the value of 'U' when using the half-angle formula for 75 degrees?

• 150 degrees

• 90 degrees

• 30 degrees

• 45 degrees

In which quadrant does 75 degrees lie, and what is the sign of cosine in that quadrant?

• First quadrant, positive

• Second quadrant, negative

• Third quadrant, negative

• Fourth quadrant, positive

What is the reference angle for 150 degrees?

• 30 degrees

• 45 degrees

• 60 degrees

• 90 degrees

How is the expression 1 - sqrt(3)/2 simplified using the distributive property?

• 1 + sqrt(3)/2

• 2 - sqrt(3)/4

• sqrt(3) - 1/2

• 2 + sqrt(3)/4

What is the final simplified form of the expression sqrt(2 - sqrt(3))/2?

• sqrt(2 - sqrt(3))/2

• sqrt(3 + 2)/2

• sqrt(2 + sqrt(3))/2

• sqrt(3 - 2)/2