Math III - 7.3 DHQ (3rd) 12/5

Front

What is the reference angle?

Back

The reference angle is the acute angle formed by the terminal side of a given angle and the x-axis. It is always positive and is measured in degrees or radians.

Front

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

Back

To find the reference angle for an angle in the second quadrant, subtract the angle from 180 degrees.

Front

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

Back

To find the reference angle for an angle in the third quadrant, subtract 180 degrees from the angle.

Front

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

Back

To find the reference angle for an angle in the fourth quadrant, subtract the angle from 360 degrees.

Front

What is the reference angle for 163 degrees?

Back

The reference angle for 163 degrees is 17 degrees (180 - 163).

Front

What is the reference angle for -43 degrees?

Back

The reference angle for -43 degrees is 43 degrees (add 360 to -43 to get 317, then 360 - 317 = 43).

Front

What is the reference angle for 73 degrees?

Back

The reference angle for 73 degrees is 73 degrees (since it is already in the first quadrant).

Front

What is the reference angle for 47 degrees?

Back

The reference angle for 47 degrees is 47 degrees (since it is already in the first quadrant).

Front

What is the relationship between reference angles and trigonometric functions?

Back

Reference angles are used to find the values of trigonometric functions for angles greater than 90 degrees by relating them to their corresponding acute angles.

Front

How do you express a negative angle in standard position?

Back

To express a negative angle in standard position, add 360 degrees until the angle is positive.