1. Radian and Degree Measure
Section 4.1
Radian and Degree Measure

2. Angles Trigonometry: the measurement of angles
Standard Position: Angles whose initial side is on the positive x-axis º
terminal
180º º
initial
vertex
270º

3. Graphing positive angles
1.) 50º 2.) 130º 3.) 260º 4.) 310º

4. Graphing Negative angles (go back to graph and write in)
1.) -50º 2.) -180º 3.) -420º 4.) -300º

5. Coterminal angles Angles that share the same terminal side
Differ by 360º (or a multiple of 360 ie. 720)
Example 4 vs example 1
To find positive and negative coterminal angles- add and subtract 360º
1.) 210º 2.)-180º 3.) 400º

6. Radian Measure Radians are a 2nd way to measure an angle
Positive and negative radian measures:

7. Graphing positive angles
1.) 2.) 3.) 4.)

8. Graphing negative angles
1.) 2.) 3.) 4.)

9. Coterminal angle with radians
Differ by
To find a positive and negative coterminal angle, add and subtract
1.) 2.) 3.)

10. Conversions Degree to radian: Multiply by 1.) 2.) 3.)
1.) 2.) 3.)
Radian to degree: Multiply by
1.) 2.) 3.)

11. Special angles Complementary angles- angles whose sum = 90
Supplementary angles- angles whose sum = 180
1.) 45º 2.) 61º 3.) 100º 4.)

12. Arc Length Arc length- measures a segment (arc) of a circle
must be in radians
1.) )

13. Area of a sector
1.) )

14. Classwork
Pg 291 # 71-78

15. Homework
Pg # 8,10, 12-19, 21, 35-40, 43, 49-52,
80, 82, 87, 88, 91, 92