How to evaluate the half angle of cosine given an angle

The video tutorial covers the calculation of cosine values in different quadrants, focusing on the second quadrant where cosine is negative. It explains how to derive Theta from given values and discusses the unit circle's role in understanding cosine values. The tutorial also demonstrates simplifying trigonometric expressions and concludes with a brief introduction to the next topic.

In which quadrant is π/8 located, and what does this imply about the cosine value?

• First quadrant, positive cosine

• Second quadrant, negative cosine

• Fourth quadrant, negative cosine

• Third quadrant, positive cosine

If five π/8 is equal to Theta over 2, what is the value of Theta?

• Five π/4

• Three π/2

• Seven π/6

• Ten π/8

What is the cosine of five π/4?

• Square root of 2 over 2

• Negative square root of 2 over 2

• Negative square root of 2

• Square root of 2

What is the result of dividing out and simplifying the expression involving sqrt 2 over 4?

• 5 in front

• 2 in front

• 3 in front

• 4 in front

What is emphasized about the process of simplifying expressions in this section?

• It is a unique process each time

• It is a repetitive process

• It is a complex process

• It is an unpredictable process