| By the end of this course, the student will be able to: |
| 1. Write (from memory) the following: |
| · the eight fundamental identities |
| · the double angle identities |
| · the half-angle identities |
| · the sum and difference of angles identities |
| 2. Prove trigonometric identities algebraically |
| 3. Sketch the graphs of trigonometric functions using the following: |
| · amplitude |
| · period |
| · phase shift |
| · vertical translation |
| · reflection |
| 4. Correctly apply inverse trigonometric functions in evaluating
expressions (including their domains and ranges) |
| 5. Solve trigonometric equations |
| 6. Perform mathematical operations on vectors |
| 7. Solve applications involving the following: |
| · right triangles |
| · law of sines |
| · law of cosines |
| · vectors |
| · arc length and sector area |
| 8. Find products, quotients, powers, and roots of complex numbers
in both rectangular and trigonometric form |
| 9. Convert equations between rectangular and polar form |