What are reference angles

The video tutorial explains the concept of reference angles in trigonometry, emphasizing their importance in evaluating trigonometric functions. It covers the definition of reference angles, their properties, and how they are used in different quadrants. The tutorial also provides mathematical methods and equations to evaluate reference angles, ensuring they are always acute and positive. The video concludes with a summary of key equations for finding reference angles in degrees and radians.

What is a reference angle in the context of trigonometric functions?

• An angle that is always negative

• The angle between the initial side and the terminal side

• An angle that is always obtuse

• The acute angle between the terminal side and the horizontal axis

In which quadrant is the reference angle the same as the original angle?

• Fourth quadrant

• Third quadrant

• First quadrant

• Second quadrant

Why can't reference angles be negative?

• Because they are always obtuse

• Because they are measured in radians

• Because they are always greater than 180 degrees

• Because they are always between 0 and 90 degrees

Which equation would you use to find a reference angle in degrees?

• Theta prime = Theta - 360

• Theta prime = Theta + 180

• Theta prime = 180 - Theta

• Theta prime = 360 - Theta

How do you calculate the reference angle for an angle in the third quadrant?

• Theta prime = Theta - 180

• Theta prime = 360 - Theta

• Theta prime = 180 - Theta

• Theta prime = Theta + 180

What is the reference angle for an angle in the fourth quadrant?

• Theta prime = 180 - Theta

• Theta prime = 360 - Theta

• Theta prime = 180 + Theta

• Theta prime = Theta - 360

Which of the following is true about reference angles?

• They are always obtuse

• They are always equal to the original angle

• They can be negative

• They are always acute