Determine the Value of Theta When Given the Value of Cosine

The video tutorial explains how to find the value of Theta in degrees and radians without a calculator. It focuses on the unit circle, specifically the first quadrant, and identifies the angle where the cosine is equal to sqrt 2/2. The solution is found to be π/4 or 45 degrees. The tutorial emphasizes understanding the unit circle and the relationship between angles and coordinates.

What is the range of Theta in degrees that needs to be found in the given problem?

• 0 to 360 degrees

• 0 to 180 degrees

• 0 to 90 degrees

• 90 to 180 degrees

In the context of the unit circle, what does the cosine of an angle represent?

• The circumference

• The X coordinate

• The radius

• The Y coordinate

Which quadrant of the unit circle is relevant for finding the angle in this problem?

• Second quadrant

• First quadrant

• Third quadrant

• Fourth quadrant

What is the angle in radians where the cosine value equals sqrt(2)/2?

• π/2

• π/3

• π/4

• π/6

What is the equivalent angle in degrees for π/4?

• 30 degrees

• 60 degrees

• 45 degrees

• 90 degrees