Using the half angle formula for cosine to evaluate for an angle cos

The video tutorial explains how to calculate the cosine of 112 degrees and 30 minutes by doubling the angle to 225 degrees and using the half-angle formula. The process involves simplifying the expression to find the final cosine value, considering the angle's position in the second quadrant where cosine is negative.

What is the main challenge when dealing with 112 degrees and 30 minutes in cosine calculations?

• Handling partial degrees

• Using the tangent formula

• Finding the sine value

• Converting minutes to seconds

What is the result of doubling 112 degrees and 30 minutes?

• 225 degrees

• 224 degrees

• 223 degrees

• 226 degrees

Which two angles add up to 225 degrees?

• 90 and 135 degrees

• 180 and 60 degrees

• 90 and 90 degrees

• 180 and 45 degrees

In which quadrant is the angle 112 degrees and 30 minutes located?

• Second quadrant

• Fourth quadrant

• First quadrant

• Third quadrant

What is the final simplified expression for the cosine of 112 degrees and 30 minutes?

• Negative sqrt 2 over 2

• Sqrt 2 over 2

• Negative 2 sqrt 2 over 2

• 2 sqrt 2 over 2