Understanding Reference Angles

The video tutorial explains how to determine reference angles for given angles in standard position. It covers the definition of a reference angle and demonstrates how to sketch angles of 256, 292, and 105 degrees, identifying their reference angles. The tutorial provides methods to calculate reference angles by subtracting from known angles like 180 or 360 degrees.

What is a reference angle?

• An angle greater than 180 degrees

• The positive acute angle formed by the x-axis and the terminal side of an angle

• An angle that is always 90 degrees

• The angle formed by the y-axis and the terminal side

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

• Subtract the angle from 90 degrees

• Add 90 degrees to the angle

• Subtract the angle from 180 degrees

• Subtract the angle from 360 degrees

What is the reference angle for 256 degrees?

• 76 degrees

• 104 degrees

• 124 degrees

• 24 degrees

In which quadrant does the angle 256 degrees lie?

• First quadrant

• Fourth quadrant

• Second quadrant

• Third quadrant

What is the reference angle for 292 degrees?

• 112 degrees

• 88 degrees

• 68 degrees

• 22 degrees

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

• Subtract the angle from 360 degrees

• Subtract the angle from 180 degrees

• Add 90 degrees to the angle

• Subtract the angle from 270 degrees

What is the reference angle for 105 degrees?

• 105 degrees

• 85 degrees

• 15 degrees

• 75 degrees

In which quadrant does the angle 105 degrees lie?

• First quadrant

• Second quadrant

• Third quadrant

• Fourth quadrant

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

• Subtract the angle from 90 degrees

• Subtract the angle from 180 degrees

• The angle itself is the reference angle

• Subtract the angle from 360 degrees

What is the relationship between the positive y-axis and the reference angle for 105 degrees?

• The reference angle is 180 degrees minus the angle with the positive y-axis

• The reference angle is 270 degrees minus the angle with the positive y-axis

• The reference angle is 90 degrees minus the angle with the positive y-axis

• The reference angle is the same as the angle with the positive y-axis