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Trigonometry

By the end of these lessons you should be able to :

- Define radians and arc length
- Draw angles in standard position
- Define and compute values of the six trigonometric functions
- Recall trigonometric identities
- Solve trigometric equations

Topic | Est. video completion time. | Textbook practice problems | |
---|---|---|---|

1 | Radians | 10 mins | Appendix D : 1,3,7,9 |

2 | Angles in standard position | 10 mins | Appendix D : 17,19, 21 |

3 | Trigonometric functions | 20 mins | Appendix D : 23-31 (odd) |

4 | Trigonometric Identities | 20 mins | None |

5 | New Identities from old and graphs | 20 mins | Appendix D : 46, 48, 50 |

6 | Solving trigonometric equations | 10 mins | Appendix D : 65, 69 |

1. Radians

By the end of this lesson you should be able to :

- define radian measure in terms of arc length
- convert between radians and degrees

Once you have viewed the video complete the following problems from the textbook, Appendix D : 1, 3, 7, 9

Notes:

2. Angles in standard position

By the end of this lesson you should be able to :

- Draw an angle in standard position
- Identify which quadrant that the terminal side of an angle in standard position lies in

Once you have viewed the video complete the following problems from the textbook, Appendix D : 17,19, 21

Notes:

3. Trigonometric Functions

By the end of this lesson you should be able to :

- give definitions for the 6 trigonometric functions
- compute values of the 6 trigonometric functions
- compute exact values of the 6 trigonometric functions

Once you have viewed the video complete the following problems from the textbook, Appendix D : 23-21 (odd)

Notes:

4. Trigonometric Identities

By the end of this lesson you should be able to :

- recall all the trigonometric identities discussed in the lecture

Once you have viewed the video complete the following problems from the textbook, none

Notes:

5. New Identities from old and graphs

By the end of this lesson you should be able to :

- describe the main features of the graphs of sine, cosine and tangent
- Use the known identities to deduce new identities

Once you have viewed the video complete the following problems from the textbook, Appendix D : 46, 48, 50

Notes:

6. Solving trigonometric equations

By the end of this lesson you should be able to :

- solve trigonometric equations

Once you have viewed the video complete the following problems from the textbook, Appendix D : 65, 69

Notes: