09+Finding+reference+angles+in+degrees

__**FINDING REFERENCE ANGLES IN DEGREES:**__ Ilyssa Rabinowitz, Sarah Hanrahan, and Jessica Valla

1. The unit circle could be a helpful tool when doing this because it has the angle measurements easily accessible. The reference angle is the acute angle formed by the terminal side of the given angle and the x-axis. Reference angles may appear in all four quadrants, however the angles in Quadrant I are their own reference angles. If an angle measure is in radians and it needs to be changed to degrees there is a simple formula to follow. It is:. Once converting it (if necessary), you need to add or subtract 180 or 360 depending on the quadrant the angle lies in. If the angle is in the Quadrant II then you would need to do minus the angle. In Quadrant III you would need to do minus the angle. Quadrant IV you take the angle measurement and change it from negative to positive.



2. Radians to degrees:

Quadrant I Formula: Angle Measure=Reference Angle Quadrant II Formula:  - angle measurement=Reference Angle

Quadrant III Formula: - angle measurement=Reference Angle

Quadrant IV Formula: Angle Measure x -1 = Reference Angle

 OR DEPENDING ON THE GIVEN INFORMATION <span style="color: #6565f9; font-family: Georgia,serif; font-size: 120%;"> - angle measure=Reference Angle



<span style="color: #e95de9; font-family: Impact,Charcoal,sans-serif; font-size: 140%;">3. PRACTICE PROBLEMS/EXAMPLES: <span style="color: #e95de9; font-family: Impact,Charcoal,sans-serif; font-size: 140%;">

<span style="color: #e95de9; font-family: Impact,Charcoal,sans-serif; font-size: 140%;">4. <span style="color: #6565f9; font-family: Georgia,serif; font-size: 120%;">1. http://www.analyzemath.com/Angle/reference_angle.html <span style="color: #6565f9; font-family: Georgia,serif; font-size: 120%;">2. http://www.mathwarehouse.com/trigonometry/reference-angle/finding-reference-angle.php <span style="color: #6565f9; font-family: Georgia,serif; font-size: 120%;">3. http://www.sparknotes.com/math/trigonometry/trigonometricfunctions/section4.rhtml
 * <span style="color: #6565f9; font-family: Georgia,serif; font-size: 120%;">URL's: **