Radians & Angles on the Coordinate Plane

1. By: Rachel Bradley Radians & Angles on the Coordinate Plane

2. Radians Vs. Degrees 1 radian

3. Ex. Converting Degrees to Radians

4. Ex. Converting Radians to Degrees

5. Vocabulary • Initial Side: starting side or ray • Terminal Side: finished side or ray • Standard Position: initial side that starts on the positive x-axis • Conterminal Angle: angles that share the same sides, but have different Values • Reference Angle: the angle created with the x axis

6. Diagrams Standard Terminal Side Clockwise Initial Initial Side Counter Clockwise Counterclockwise: Negative angle Clockwise: Positive Angle

7. Examples

8. Coterminal • A positive Coterminal angle you add 360 degrees • A negative Coterminal angle you subtract 360 degrees Ex. 1 Ex. 2

9. Finding Reference Angle * When the angle is in quadrant 1 it equals that number

10. Finding Exact Values(Podcast) 1st quadrant: all six functions will be positive 2nd quadrant: sin is positive cos is negative tan is negative cot is negative sec is negative csc is positive 3rd quadrant: sin is negative cos is negative tan is positive cot is positive sec is negative csc is negative 4th quadrant sin is negative cos is positive tan is negative cot is negative sec is positive csc is negative UNIT CIRCLE A website to help with this: ://mathmistakes.info/facts/TrigFacts/learn/vals/isum.html

11. Useful Websites http://www.themathpage.com/atrig/radian-measure.htm This website teaches how to convert radians to degrees, degrees to radians, cotemerinal angles, and has practice problems http://hyper-ad.com/tutoring/math/trig/Trigonometric%20Functions%20of%20Common%20Angles.html This website demonstrates how the unit circle works with degrees and radians

12. Sources • Notes from class • Two website links under useful websites • Figures were made by me using shape tools • Unite Circle from:http://everobotics.org/projects/roboMagellan/img/UnitCircle.gif