1. The Unit Circle Dr. Shildneck Fall, 2014

2. The Unit Circle The Unit Circle is a circle of radius 1-unit. Since angles have the same measure regardless of the size of their terminal side, we generally speak about their trigonometric ratios by using angles as they rotate around a unit circle.

3. Special Angles 0o0o 90 o 180 o 270 o 360 o 30 o 45 o 150 o 135 o 225 o 240 o 330 o 315 o 60 o 120 o 210 o 300 o

4. Special Right Triangles 30 – 60 – 90 45 – 45 – 90 1 2 1 1 x 2 x x =

5. Trig Values on the Unit Circle 11 1 1

6. 1

7. 11 11

8. 1

9. 11 11

10. Completing the Unit Circle Know the patterns for 45’s Know the patterns for 60’s Know the SIGNS (cosine – x, sine – y)

11. Completing the Table Know the Unit Circle (sines and cosines) Find Tangent (y/x = sine/cosine) Know Reciprocals

12. Assignment 1) Complete Unit Circle 2) Complete Table Practice more than once Downloadable on Blog