1. 13.2 – Define General Angles and Use Radian Measure

2. 0°0° 90° 180° 270° Initial side Terminal side Standard Position:Vertex at origin and initial side is on x-axis

3. 1.Draw an angle with the given measure in standard position 65°

4. 1.Draw an angle with the given measure in standard position 230° 40° 50°

5. 1.Draw an angle with the given measure in standard position 495° 135°45°

6. 1.Draw an angle with the given measure in standard position –60° 60°

7. Radian: Measure of an angle in standard form whose terminal side intercepts an arc of length r C = 2πr2πr So there are 2π radians in a circle

8. Converting Degrees and Radians Degrees  Radians Radians  Degrees

9. 2. Convert the degree into radians. 30° 60 135° 4 3

10. 3. Convert the radians into degrees. 18 18° 45 –225°

11. 0 π2π2 π 3π 2 45° π4π4 135° 3π 4 315° 225° 5π 4 7π 4 2π2π

12. 0 π2π2 π 3π 2 30° π6π6 120° 5π 6 300° 150° 7π 6 11π 6 60° π3π3 2π2π 2π 3 4π 3 5π 3 330° 240° 210°

13. 4. Evaluate the following trigonometric functions without using a calculator. Show work by drawing a triangle for each problem. sin 30° 30° 1 2 =

14. 4. Evaluate the following trigonometric functions without using a calculator. Show work by drawing a triangle for each problem. cos 45° 45° 1 1 =

15. 4. Evaluate the following trigonometric functions without using a calculator. Show work by drawing a triangle for each problem. tan 30° = 30° 1 2

16. 4. Evaluate the following trigonometric functions without using a calculator. Show work by drawing a triangle for each problem. csc 60°= 60° 1 2

17. 4. Evaluate the following trigonometric functions without using a calculator. Show work by drawing a triangle for each problem. sec 60°= 60° 1 2

18. 4. Evaluate the following trigonometric functions without using a calculator. Show work by drawing a triangle for each problem. cot 45°= 45° 1 1

19. 4. Evaluate the following trigonometric functions without using a calculator. Show work by drawing a triangle for each problem. = 1 2

20. = 1 1

21. = 1 2 =

22. 5. Evaluate the following trigonometric functions with a calculator. Round answers to four decimal places. Remember to change the mode of your calculator. sin 55°  0.8192 cos 135°  – 0.7071 sec 315°  1.4142 = cot 76°  0.2493 =

23. 5. Evaluate the following trigonometric functions with a calculator. Round answers to four decimal places. Remember to change the mode of your calculator.  0.4816  2.9238  0.5878 =  –2 =