What is the definition of a reference angle and how do I use it

The video tutorial explains the concept of reference angles, which are acute angles between the terminal side of an angle and the X-axis. It covers how to identify and calculate reference angles in different quadrants, using both degrees and radians. The tutorial provides algebraic methods for finding reference angles and includes examples to illustrate these concepts.

What is a reference angle?

• An angle that is always 90 degrees

• The acute angle between the terminal side of an angle and the X-axis

• An angle that is always 180 degrees

• The obtuse angle between the terminal side of an angle and the Y-axis

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

• Quadrant 1

• Quadrant 2

• Quadrant 3

• Quadrant 4

How do you find the reference angle in Quadrant 2?

• 360 minus Theta

• Theta plus 90

• 180 minus Theta

• Theta minus 90

What is the formula for finding the reference angle in Quadrant 3?

• Theta minus 90

• 180 minus Theta

• Theta minus 180

• 360 minus Theta

In Quadrant 4, how is the reference angle calculated?

• 180 minus Theta

• Theta minus 90

• 360 minus Theta

• Theta minus 180

What is the reference angle for an angle of 225 degrees?

• 225 degrees

• 315 degrees

• 135 degrees

• 45 degrees

If an angle is given in radians, how do you find the reference angle in Quadrant 2?

• Theta plus π

• 2π minus Theta

• π minus Theta

• Theta minus π