Master determining the reference angle from a given angle

This video tutorial explains how to find reference angles for given angles in degree measure. It covers the definition of reference angles, rules for positive and negative angles, and provides examples for angles such as 50, 120, -155, and -20 degrees. The tutorial emphasizes the importance of converting negative angles to positive coterminal angles and using quadrant-specific formulas to determine reference angles.

What is the definition of a reference angle?

• The angle between the initial side and the Y-axis

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

• The obtuse angle between the terminal side and the X-axis

• The angle between the initial side and the terminal side

How do you find the reference angle for an angle in the second quadrant?

• Add 90 degrees to the angle

• Subtract the angle from 180 degrees

• Subtract the angle from 360 degrees

• Add 180 degrees to the angle

What is the first step in finding the reference angle for a negative angle?

• Subtract the angle from 180 degrees

• Multiply the angle by -1

• Add 360 degrees to the angle to find the coterminal angle

• Subtract the angle from 360 degrees

If an angle is -155 degrees, what is its coterminal angle?

• 205 degrees

• 305 degrees

• 155 degrees

• 45 degrees

What formula is used to find the reference angle in the fourth quadrant?

• Theta minus 180 degrees

• 180 degrees minus Theta

• Theta plus 90 degrees

• 360 degrees minus Theta

For an angle of -20 degrees, what is the reference angle?

• 180 degrees

• 340 degrees

• 20 degrees

• 160 degrees

What is the reference angle for an angle of 340 degrees?

• 20 degrees

• 80 degrees

• 60 degrees

• 40 degrees