1. Warm-Up 4/1 Fill in chart. 0 1 0 – 1 1 0 0 0 undefined 0 (1, 0) (0, 1) (– 1, 0) (0, – 1)

3. Rigor: You will learn how to evaluate and determine sign of trig functions using the Unit Circle. Relevance: You will be able to solve real world problems using the Unit Circle.

4. Trig 4 The Unit Circle

5. The Unit Circle.

6. Unit Circle: a circle of radius 1 centered at the origin in the xy-plane.

8. 1 1 x x x

9. 0 90 180 270 360 45 135 225 315 30 60 120 150 210 240 300 330 1 0 0 1 – 1 0 0 – 1

10. Unit Circle Draw in triangles to find the coordinates for each point on the unit circle. 30  1 45  1 60  1 ( x, y )

11. Numerator always 1 Numerator always 1 less than denominator Numerator always 1 more than denominator Numerator always twice denominator minus one

13. Periodic Functions A function y = f(t) is periodic if there exist a positive real number c such that f(t + c) = f(t) for all values of t in the domain of t. The smallest number c for which f is periodic is called the period of t.

15. Assignment: Trig 4 WS 4-3 SGI, 1-8 all The Spring SAT Crash Course When: April 9-10 and April 16-17 Time: 2:30-5:30 Where: Media Center Cost: $10 Register: 3-207, by April 8. I have 11 th grade Pert Scores.

16. 7 th Warm-Up 4/1

17. Numerator always 1 Numerator always 1 less than denominator Numerator always 1 more than denominator Numerator always twice denominator minus one

19. Periodic Functions A function y = f(t) is periodic if there exist a positive real number c such that f(t + c) = f(t) for all values of t in the domain of t. The smallest number c for which f is periodic is called the period of t.

21. Assignment: Trig 4 WS 4-3 SGI, 1-8 all The Spring SAT Crash Course When: April 9-10 and April 16-17 Time: 2:30-5:30 Where: Media Center Cost: $10 Register: 3-207, by April 8. I have 11 th grade Pert Scores.