1. CHAPTER 14 DAY 4 Other Trigonometric Functions

2. Converting Between Degrees and Radians  When we convert between degrees and radians we multiply by a.  The easiest value that is equivalent is radians and degrees.  So, to convert from degrees to radians we multiply by.  And to convert from radians to degrees we multiply by. 1 π 180

3. Convert each angle measure from degrees to radians. 1. 2. 3.

4. Convert each angle measure from radians to degrees. Round to the nearest tenth. 4. 5. 6.

5. Other Trigonometric Functions  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

6. Evaluate all six trigonometric functions at the given real number. 7.8.

7. Give the exact value of each trigonometric function. 9. 10. 11.

8. Give the exact value of each trigonometric function. 12. 13. 14.

9.  15. In which two quadrants is cosecant negative?  16. When is secant undefined?

10. Complete the table below for the reference angles in both degrees and radians.

11. Revolutions Greater than a Full Circle  The unit circle continues to revolve past a full circle in both the positive and the negative direction.  An is determined by rotating a ray about its vertex.  The of an angle is the ray extending from the vertex before rotation.  The resulting ray, after the rotation, is called the.  When the initial side coincides with the positive x-axis and the vertex is at the origin, it is said to be in .. angle initial side terminal side standard position

12.  In order to evaluate trig functions of angles larger than one revolution, it is helpful to determine where on the unit circle the value lies by working backwards.  To find that value, you can subtract a full circle until you get a value that is on the first revolution.

13. Sketch the angle in standard form and evaluate the trig function. 17.18.

14. Sketch the angle in standard form and evaluate the trig function. 19.20.