2.  Revolutions Around the Unit Circle  We can revolve around the unit circle in the and directions.   Revolution in the positive direction is.   Revolution in the negative direction is. positivenegative counterclockwise clockwise

3. 1.2. 3.4.

4.  With the unit circle, the x and y coordinates are dependent upon the real number, θ, which represents the location in degrees or radians of a point in the unit circle. With this knowledge, let us define the Sine and Cosine function.  Let be a real number in degrees or radians, and (x, y ) be the corresponding point on the unit circle.  So, the coordinates of a point on the unit circle can also be defined as.

5. a.b. c.d.

6.  In which quadrant(s) is cosine positive?  In which quadrant(s) is sine positive?

7.  Let θ be a real number and ( x,y ) be the corresponding point on the unit circle. furthermore,

8.  a.b.  c.d.

9.  Which quadrant(s) is the tangent function positive?

10.  a.b.  c.d.

11. There are actually three more trigonometric functions that we haven’t yet defined: Cosecant, Secant, and Cotangent. They are all functions of the three we already know! reciprocal

12. 5.

13. 6.

14. 7.8.

15. 9.10.

16. 11.12.

17.  13. In which two quadrants is cosecant negative?  14. When is secant undefined?

18. RadianDegree